Oh there's no need to even do any of that. the solution was very simple from the start, if you ask me and it's not hard to do. Make Sakura Naruto's childhood friend that is still a tsundere to him when he does something stupid but have her smiling and blushing when he talks about how he wants to be Hokage, Make Hinata the same but not as Naruto's fan girl and have her shrink away even around him. THEN those fans would not find her so cute anymore. How do I know? Remember, Sakura is not even that bad of a tsundere compared to some other cases but those other cases are far more tolerated than her.
Case in point. I know not all of us here watch Black Clover here but it is a PERFECT EXAMPLE of this dynamic DONE RIGHT (and is one of my very favourite series right now, but besides the point). You have the main character Asta who is exactly like Naruto. (and I am not saying this lightly) He is a idiotic simpleton that wants to the biggest political figure in his home kingdom, the Wizard King, which is the strongest combat magic user in said kingdom and commands all other mages of said category called "magic knights" which all use magic as a military force and law enforcement at the same time. He was bullied and teased since childhood because he HAS NO MAGIC which is completely unheard of but still is determined to be the Wizard King, and has MANY MANY naysayers even now in the series. Spot the similarities RIGHT THERE? I won't delve into HOW He is trying to become wizard king despite having no magic or the setting and premise, but you get the idea.
Now you have the main female lead of the manga/anime, Noelle Silva, who is a princess of that kingdom, and a tsundere completely not unlike Sakura. She was snooty at the start of the manga/anime (still is somewhat now even after character development) and would rub her status in the faces of others, even her friends (she and Asta are assigned to the same magic knight squad), and uses it as a justification of her haughty attitude, BUT "SHOCKER!!", she is in love with Asta. She berates him like a typical tsundere love interest and smacks him with her magic when embarrassed or he does something stupid, but shows to completely fan girl him in silence and inside her head, shows visible concern when there was one time when he lost control of his powers and he looked like a monster similar to Sakura and Naruto, etc etc. and develops into a stronger more confident young woman. How popular is she you ask? She placed third in the Black Clover Popularity polls TWICE.
And do note, Asta has has a "Hinata" too in this scenario which is Noelle's cousin. Said cousin is a sweet-natured healer, and also falls for Asta soon after she is introduced, and while she does have fans that prefer her over Noelle to get with Asta, Noelle is still far more popular overall. The cousin's name is Mimosa if you're curious, and has the EXACT SAME dynamic as Hinata, in that she is not on the same team as Asta, barely interacts with him, and has a bust size that is noted by other characters and also used as the butt of jokes on occasion. Despite her obvious crush on Asta she is rarely seen with him, does not spend time with him off duty, and is not hardly seen at all in the series overall, and Asta spends more time with Noelle than even his "best friend/ rival". That's right Asta ALSO has a "Sasuke" that he is life partners with and strives toward the same goal to become wizard king (if you want I'll talk about him later), but Asta spends most of his time with Noelle.
My point on all of this is that you see the difference between Noelle and Sakura in the eyes of the fans here here? Noelle is just like Sakura in her dynamic with Asta but she was established incredibly early in the manga to have started liking him in secret but is too embarrassed to show it to him properly, plus she has competition for his affections and it is not just Mimosa, there are a couple of other characters I did not mention that could be called "love interests" for Asta, but these two are the most prominent in the story and again Mimosa is not shown to be with Asta frequently and is off screen a lot of the time just like Hinata. So what is the difference between Noelle and Sakura?
Pretty sure that it is because Noelle has shown to have a very soft spot for the MC despite her reluctance to show it or hell even admit it to others or herself most of all. And get this, SEVERAL character can see she loves Asta, even character that don't see her often or know her that well. there are several characters in universe that outright WANT to see them as a couple or acknowledge Noelle's feelings. Also, Noelle progresses a lot as a character in that she has an INSANE amount of magic power, but can't control properly so she started off as a liability early in the manga (just like Sakura again) so her development is learning to actually use her powers and become a stronger person , and she has goals that don't involve Asta at all might I add. It also helps that she is quite the beauty herself, with author himself admitting she is one of the most physically attractive women in the kingdom. If that is not double standards, I don't know what is.
BUT do you get it now? the problem is not Hinata at all, but to fix all first impressions of Sakura. I've argued this for years, Hinata is NOTHING, there is nothing special about her besides her family name, she is a side character at best and her so called feelings for the MC are her sole defining feature and she' is NOT EVEN PROMINENT AT THAT. all of Sakura's hatred and Hinata worship has nothing to do with Hinata and everything to do with how others viewed Sakura at the start. If Sakura was shown to love Naruto at the start she likely would be more popular than she is now just like Noelle. And notice, you see A LOT of other Shonen manga/anime heroines that are not physically involved with the plot either. They don't have plot important fights or even fights at all in their series, but do you see them being called weak useless, annoying etc etc. like Sakura has? Often no. Why? because their love for the MC is plot relevant and fans seem to latch on to that and adore it.
But what I'm saying is Hinata is not the problem. And even if she was, the problem is not solved is solved by simply making her a horrible character. That has been done before and those females are still loved for it by these fans, so that is not working. Perfect example. Yuno Gasai from "Future Diary". THAT GIRL is an outright psychotic killer and actually embodies everything you WANT to paint Hinata as. She casually murders others and with a child like glee in her facial expression, and is physically, emotionally and even socially abusive towards her love interest, the MC of the story. she considers anyone he interacts with in their age group a threat to their relationship, so she kills them or attempts to kill them on typical basis. She even drugged and kidnapped him one time for at least a week. Fans STILL love her and want her with the MC and SHE DOES get with him at the end. So you see, it is not enough to just make Hinata as heinous as possible to get these fans to stop worshiping her, and Yuno Gasai is one of MANY examples that prove this point. Just my two cents.
And while Mimosa has a thing for Asta, she doesn't let it be something that determines all her existence, and she can work well with him when the two are partnered up together as I've seen in Black Clover, plus Mimosa gets inspired by him.
Also, even for being "rivals", Asta and Yuno are more of natural friends due to both having grown up together, in spite of Yuno looking down initially on Asta, but being reminded of his determination and how Asta has more of that at times than he does, and how Yuno gets inspired by Asta's determination, hard work, and guts, just like Asta gets inspired by Yuno's talent and knowledge.