Impact on Brady? Not much. The Patriots have run a lot of the same plays and just change up the personnel, so I think a lot of their offensive evolution outside of 2007 and 2013 is more directly tied to the strengths of their players.
I never thought they purposely said “we need to go to a two tight end offense” in the 2010 draft. Good players were available, they drafted them, and adjusted their offense to fit the pieces they had.