Yes, I'm struggling with the idea behind the thread too.
A couple of points.
1. Other threads on the forum about saxophone "sound" have discussed what is actually included in an individual player's sound and I believe it is much more than could be revealed by frequency analysis of a note that person plays. It's the whole stylistic concept of what they play and how they play it. There are some players that I can reliably identify from just a few seconds of their playing, but I'm not sure there are any I could identify from a single isolated note.
2. I think that some saxophone players really "speak to me" in a way that others don't. Not every note they play, but certain fragments or sometimes whole tunes. I have no idea why that is, but interestingly both Art Pepper and Johnny Hodges are in that category.
3. The saxophone is an instrument that allows the player to really shape their sound and develop an individual style. Can players of other instruments (maybe synthesiser, maybe flute) also have a "sincere sound" in the way
@Saxlicker means ?
Rhys