Here's the thing, if Hinata were to change, if she were to become stronger, if she were to rely on her own strengths, if she were to finally begin examining herself (as Sakura has done throughout the manga), THEN I might be OK with Hinata becoming an adviser to Naruto in some official capacity at least in theory. The problem is, as written it seems that much of this growth will happen off pannel, and that's why it would still greatly bother me. Unlike Shino and TenTen, Hinata has had a much greater focus, yet she's changed very little, and when it seems like she'll make progress, she takes multiple steps backwards --falling backwards isn't a bad thing, it doesn't make me dislike a character in and of itself, it's something that I like about Sakura, I like that Sakura has to struggle to improve-- but Hinata is incredibly self-unaware. She's so far gone at the moment, that she's more socially inept than Sai, it would just be very hard to believe that she'll self-reflect, and become so accomplished that she's lead and represent the Hyuuga and become an adviser to Naruto, that anything Hinata could (offer other than an inside view with regards to specifically Hyuuga and general clan politics) would warrant that she be given such a position. Shikamaru, he could handle both (leading a clan and becoming an adviser), Kiba wouldn't be leading a clan, and Sai could offer Naruto insight into a side of Konoha and a side of being ninja that Naruto is unfamiliar with.
----------------------------------------
So I mentioned in another post that much of this chapter reminded me of the dynamic between Naruto-Sakura-Shikamaru back during Konoha's invasion in part 1, upon thinking about this chapter further I'm begining to understand a bit more why Kishi had Sakura and Shikamaru working together to decipher Jiraiya's code just before Pain's invasion of Konoha. Back then it didn't make sense to me, I didn't understand why Sakura wasn't aiding Shizune with the autopsy, but came up with the explanation that maybe Tsunade wanted her apprentices involved with both main aspects of the investigation (and to further the notion that Team 10 is Team 7/Kakashi's sister team to some degree), now it seems that it was meant to established a work-relationship between Sakura and Shikamaru. That established that they could work together, and this chapter (along with many others, like the chapters with Sakura's speech and Shikamaru's speech which were incredibly similar) to some degree furthered the notion that they'll be working with each other --after all, these are the two people who not only understand Naruto, but also are capable of grounding him (in different ways, obviously), yet are his equals (not his teachers). They are also the two who would/could function as his brains (Naruto is smart/creative in the moment, but in general? He's still tat adorable little dummy), Shikamaru as a tactitian, Sakura in her ability to memorize/retain information.