GEM GENSYS PRO is having RASS for long time. That means, that you can play drum loops and change tempo of style. Hard is to program that, but is really useful. For JAZZ is better play with GEM because of good organs sounds and el. piano. There are a lot of styles with funky.
But also SD1 is good. Sounds are less powerful some styles are good for jazz. But if you are player with filling that is better GENESYS.

On PA is that possible to hear as complete live band.

Best regards.