Hi Joe,
I can only speak for the Tyros 2 but do agree, the Alto Sax is not that great. I find it weak & weedy and have never been able to use it.
There's a super articulation Tenor Sax on the T2 that is very good, and very playable in many situations. One of my efforts where I've used the SA Sax is:
Late Night Chill which will give you a rough idea on how it sounds on the T2.
One of the members, John Wyvern, has done an excellent 'tweak' of the Tyros 2 Tenor Sax. I've not had a chance to use it yet on a tune, but I've heard it and it does sound impressive. I'm sure one of us here can dig it out if you're interested. I don't think it's an SA voice, so I'm presuming it will work on your keyboard.
Cheers
Paul