So I found rare renders of Woody and Buzz on a decade old photobooth for Toy Story 3's release. Judging by the Woody render, it looks like a render that was made for Toy Story 2's release in terms of posing.

Not really.

The Toy Story 3 animations for Woody and the other Toy Story characters, had to be re-modeled from scratch, because Pixar couldn't do anything with their old files anymore.

They could open them up, but couldn't use them for the movie because they were too old, so Pixar decided to just remake all of the old characters, but they made the changes as small as possible so that you can't tell the difference unless you pay attention to the details.

Do you want me to fix the transparency of that woody render

Well shit, everyday's a school day