I love Tri-X too, but with a little work good pictures can be had with any film. Because I am curious, and because I know some people that have been extraordinarily kind to give me film for free, I can honestly say that TMax 400 and HP5+ gives me prints that I like equally much to those shot with Tri-X.
Are there differences? Sure there are.
Does it really make or break the picture? Hell no.

It is fun to talk about films and developers, but in the end it is mostly about the content, and you can get awesome prints from any of the films above.