Well, yes, depending on what kind of sound your teacher has got. I say this because I know here in the UK there are lots and lots of so called sax teachers who teach an instrument that they cant actually play themselves. I was involved teaching for my Local Authority for many years and was appalled at the standard of the teaching, sax especially. I no longer teach for them. The final straw was when I was asked, not once but on several ocaisions by one of the Local Authorities "top sax teachers" how I got my sound and what I would suggest for a good mouthpiece for one of his better students. This guy had no idea, probably because he was a classical trained clarinet player, who didn't even own a sax but was teaching it! I did hear him play on a couple of occaisions, all I'll say is " sound , what sound?"I had lost the will to live by then!!!
I was taught by an ex-pro sax player who's sound on alto was like velvet, very Desmond-esc when he wanted it to be, but he was able to change his sound to fit the style he was playing. His advice to me on sound was "listen to everybody and your sound will develope the way you want it, but its not a bad thing to immitate the greats". Advice I follow to this day and advice I try and pass down to my students.