Classic Blue,
Do me a favor. Go find the album "Hard Work" by John Handy. Listen to "Blues for MR. Jordan" After that, please let me know if you still think sax players sound bad playing the blues

If you like that, I will add to the list of great blues sax players.
I will agree that there are a lot of Jazz/Blues cross overs that I think are sometimes out of the blues element. Those players you have to think out of the blues box and lean more to the Jazz side.