Yeah, that's basically what I've done (though i got a lot fewer years of playing compared to lots of folks on this forum). I basically just played how my teacher described it and with the sound he basically said was ideal in classical music, but I just play a little darker than him. I think there's a limit to how dark your sound can get on a S80 C* mouthpiece. You can get a little darker on a size 4 reed but I feel you get more out of switching to the S90-180 mouthpiece. My instructor didn't switch cus he didn't like the resistance but I think it's alright to get that extra darkness in there. Probably not a huge difference from the listener perspective but I can tell the difference, and I usually had the darkest sound at the regional auditions.
Also, i don't think i caught any vibrato in the vid that was posted there, so i wouldn't know what the difference is between vibrato how I was taught and the French school.
Anyways, i was wondering how you can tell the difference in their sound. Like what is the "French school sound" compared to the sound of the other schools? I'm only focusing on sound here because that's what you can notice more in vids and listening to them. You can't necessarily know what concepts someone was taught just by hearing them, especially when I'm sure plenty of guys have learned from multiple sources.