The thing is Kurama's chakra gives you a boost and protection and that's about it. But the deeper wounds cannot be healed because if you remember, it took Sakura to indeed heal Kakashi and Shizune to heal Gai to be able to fight back properly.
So from this point of view Sakura's healing > Kurama rejuvenation.
Would not the question then be is Kurama healing's someone that he does not reside inferior to healing the person he resides in? Also, then, it took a combination for Kakashi and Gai...which was more important? The manga doesn't say.
Which is better is probably dependent on the specific task that needs to be accomplished.
I have said it before...and I will say it again. It seems everyone, including some in the NS fanbase, are finding ANY reason to push Sakura to the ground. You know, people complain that Sakura is abusive, but the amount of crap she gets from at least the western fanbases, I'd say we are the ones doing to the abusing. ("We" as in general.)This girl can never catch a break at all and even though many characters are guilty of worse crimes, they still get hand-waved meanwhile Sakura is put on a pedestal and judged like she is the worst character ever written. This is why I pick on Hinata a lot. To keep balance to this kind of abuse Sakura gets all the time.
In my view, this fandom is not significantly different. It just has the opposite problem. It convulses everytime someone says something negative to the point where I wonder how much hell I'll catch if I say something bad. Not to mention, how I see people constantly twist everything Hinata does into an insult.