Trying to read between the lines of your post, I would suggest you look at either a PA2x (if too expensive look at a used PA1x, but the pianos are awful), OR a G70. (if the G70 is to expensive the E60 would make a great alternative with some additional outboard gear).

Both have very useful Bebop and Latin styles with the Roland ahead of the Korg.

I also prefer the overall jazz styles on the Rolands as well, although the Korg, again, is not far behind.

The G70 is a super live performance keyboard with great operational tools.

The Korg is too, BUT, and this is a big but, ONLY because of the Songbook, without the songbook it swings decidedly in favour of the G70

Comments about the Yamahas and a "gazillion" styles are true, BUT at the expense of only a 61 note keyboard. In my view, too big a price to pay.

Dennis