“We sound like ourselves on whatever we play”
Bingo! I don’t understand why most people refuse to believe this until they discover it for themselves. At least my students are quicker to accept it since I can demonstrate on their horn right away. If you don’t have a teacher or peer in your life to prove it to you, it takes a lot of time and money to realize it on your own.
Bottom line, if you want to sound different, change yourself, not your equipment (assuming it’s in good nick to begin with).
I couldn't agree more. For various reasons, I have three tenors at the moment and I sound like me on all of them. I can make a bit of a change by swapping mouthpieces, but the saxes all sound much the same. I think musicians generally, and sax players in particular, obsess far too much on their kit.
My take on it all is to buy as good a sax as you can reasonably aford and stick with it. Years ago I had a little windfall, and bought a Yanagisawa T992. It feels fantastic, and the build quality is so high it has needed nothing doing to it since I bought it. It's all the sax I'll ever want. I have no desire for a vintage Selmer, on which I'll still sound just like me but the feel and reliability won't be as good. No desire for an ancient Conn, on which I'll sound like me but the low palm keys will be awkward for my long fingers.
(The three current tenors: The Yanagisawa, a 1970s Buescher Aristocrat, my first sax, which I won't sell as I'm a sentimental old sod. The third is a 1960s King, which was offered to me for a low price by someone who was keen to sell).