Vincent does use just a touch here & there...but overall, it's that "no vibrato" thing for sure. Lots of Coltrane & Miles is like that, & many more tenor players who came after, as if it were a post-bop requirement. I dig it. Just riffing here, but I have noticed over the years how lots of very popular vocalists employ a "quick" vibrato (Aretha comes to mind, as does Nina Simone...maybe rooted in gospel to a degree, I dunno)...it seems a central aspect of their sound, the thing that seems to attract audiences to their voice. Lots of great early jazz players used a quick vibrato all the time (someone mentioned Bechet, perfect example). You can make a case that for more pop-oriented music, one benefits by a personal vibrato. Sanborn sure uses it w/ great effect. It's not easy to execute w/ conviction & musicality. On the other end of the spectrum, most opera singers use far too wide of a vibrato for my tastes. I can't even tell what the pitch is supposed to be lots of times. But it's a stylistic thing for opera it seems. Comes off as pompous to me though. Sorry if I'm rambling, but it's really an interesting topic, & I've thought a lot about it for a long time. I sort of concluded a while back that it may be a natural part of one's playing. It just comes out as if it were genetic. You have to work hard to change your natural tendency.