I don't see it. Thomas was unkempt and sloppy. Hasek understood vertical angles like few others I've seen. Thomas just threw himself at stuff and had no anticipation, no control over his body, he burped up awful rebounds and gave up soft goals by the bushels because he had no technical backing.
Hasek learned his style from Jiri Holecek, he didn't invent it. Thomas didn't seem to have foundation to his game, which is why he was only remotely useful under Julien/Chara and beyond that was mostly a fringe NHLer because of how unreliable he was. I don't mean to detract from the thread, but there seems to be a thought that you either play like Jean-Sebastien Giguere or you're Hasek. Thomas and Hasek are not on the same level, plane, school, nothing in my eyes and I'm sure anyone else who has been involved in coaching goaltenders either...