What in the bloody are you talking about?
I know you're not talking about Tim, Manu, or Tony.
Beno played 80 games as a rookie, and that's as "fully integrated" as he ever got.
Ian Mahinmi was hurt a lot, and never got fully integrated.
George Hill started his most games (here) in his second year. By necessity, but he was pretty much part of things from Year 1.
DeJuan Blair started his most games (here) in his second year.
Cory Joeph was just about as "fully integrated" in his second year as he ever got here.
And that brings us up all the way to Derrick White.
So that pretty much leaves Tiago as the only player to match your claim, and that was also mostly about injuries.
I'm not going to debate you. Anyone who wants to can have a look for themselves. Click and see which first round picks did what. Unless you try to play some dumb semantic tricks with "fully integrated", it's just not true.
https://www.basketball-reference.com...SAS/draft.html