A sax is of course not made of wood, but the tones are produced via a wooden blade. That's why the saxophone is also a woodwind instrument. Whether sensible or nonsensical - it doesn't matter, because ultimately it is completely irrelevant for the eager player.
Only one thing is important:
The saxophone - whether it is a woodwind or brass instrument - is an incredibly great, if not even, instrument The instrument! And that's all that matters.
Saxsound can do a lot and in a wide range - depending on your own wishes and feelings.
Wow, just great!