Well,i'm Spanish and it's hard for me to write in english but i think it's the only way everyone understand what you're saying and can give their opinion or whatever (just my point,no offense).
Going back to the topic,yes,they could have included the cap and vest but i think they went for the look he has in the action scenes of that part of the movie (when they're escaping from the island). I mean, he doesn't use any weapons or do anything interesting while wearing those clothes, so why going for that look? also,they could have included the shirt he wears in the driving sequence with Li (when he shoots Gunnar) that would've been cooler