Well you could ask Outrageous, phoenixforcexD, and probably even Chatte to verify, but I have no double standard....I respect Sakura for what she's done.
And The difference in Part I was that Hinata doesn't go all fangirl around Naruto....and that's mostly because of her personality difference of being shy as opposed to outgoing like Sakura.
In addition, I think Kishimoto handled her fight against Neji better....instead of making it a cat-fight that got real between Sakura and Ino (please note the got real part is sincere in that they actually fought), it was a true fight, but was on a principle of someone degrading one for family reasons.
After that, in part I, Hinata's other actions were actually to help and encourage Naruto such as during the Written Test and before Neji vs Naruto.
Honestly some are just Sakura haters :|....others just heavily resent that other than the one moment in the Forest of Death, Sakura mostly was negative towards Naruto.
The other thing is that Hinata is a side character. Meaning we only see her when she's around Naruto...who happens to be her love interest. As such, we only really see her when she
has a legitimate reason to focus on simply Naruto. I'm sure that there are times where Hinata isn't all up into Naruto.
As such, we never had a chance to see her when she isn't around Naruto such as how Sakura was during most of Part II (for example Sasori vs Chiyo and Sakura, or when she was going to help Shikamaru against Hidan). By that I mean Sakura not around Sasuke.
The only time we saw Hinata when she isn't around Naruto was when she was in the war; however, it was a war to protect Naruto so honestly he's basically still there.
IDK....I feel like I started going all over the place

...So sorry about that.