People keep comparing Batman to Rorschach but I thinking it’s a false comparison. What they have in common is angry guy beats up criminal in dark alley. If we’re going to compare him to a Watchman character he’s Veidt.
Due to their levels of planning and manipulation of both enemies and supposed allies.

Well technically Batman’s Nite Owl but the Batman we know today wasn’t the same one in the comics when Watchman was released.
The Batman we know today is largely due to Alan Moore writing Batman comics.