Perhaps so, but I fully believe a sound manager (SAF, Del Bosque, Low), would have recognized the right players and properly used them, sacrificing individualism for the team. This means a player like Scholes might not have told the NT to feck off, and thus a different lineup and results (hypothetically of course).
2002 could have seen this in attack: Beckham-Butt-Scholes-Cole/Dyer with Heskey-Owen up top. Or perhaps a Dyer-Beckham-Butt-Cole with Scholes in an advanced role behind Owen. I would have rather tossed the youthful energy and attack in Cole on the left than a veteran Sinclair, assuming either should have been in the squad to begin with.
2006 could have seen this: Beckham-Carrick/Hargreaves-Scholes-Cole with Lampard behind Rooney, assuming Scholes makes the roster after his eye illness. Perhaps not much changes in 2006 so could instead look at 2010 with Scholes in the fold.
2010: we can assume a better setup would have seen England top the group and thus avoid Germany, instead drawing Ghana (winnable) and Uruguay (winnable) and then Netherlands (difficult). Gerrard-Lampard central midfield is a clusterfeckup of epic idiocy and reeked of an arrogant view towards the first opponent. Shunting Gerrard out wide didn't rectify the problem either.
2010 retrospect would see: Gerrard/Lennon/SWP-Carrick-Scholes-Cole/Milner with either Defoe-Rooney up top, or Gerrard or Lampard in the hole behind Rooney (Gerrard excelled for Liverpool in that advanced role). Defoe's pace and Rooney's brilliance could have caused plenty of problems for opposing defense, and Lampard could have been used in a sub role. Why Carrick was consistently overlooked for the likes of Barry and Milner is puzzling nonetheless, and even more odd why any manager would think Gerrard-Lampard is a fantastic central midfield selection.
Seeing that Brazil scored a goal on a massive feckup by James, and Portugal didn't score at all, I don't see how hypothetically a different setup/tactics would not have seen England advance (not that I care either way, I don't support England).