I'm not sure what kind of tones you're looking for that are indicative of different brands of tubes. I swapped my Mesa 12ax7's many years ago for a pair of Sovtek 12AX7WXT tubes. They were a bit harsher and definitely had more gain. It didn't really do well for the clean channel but the Blues and Solo channels really got nasty. They took a while to burn in, but once they did they really had noticeably higher gain levels.
Fast forward 10 years, I pulled the Sovteks and put in JJ's. Much creamier and smoother attack. Definitely sound a little warmer. I think there are my favorites after owning the pedal for at least 20 years.
All of my observations and comments are based on using it into silverface Fender Champs and a Deluxe Reverb.