I saw your post in the General forum and answered it there, but Ed was right about the Gen Arranger forum being the best place to ask the q, so I'll repeat my response here.
I think the Korg PA80 and PA1x will play one shot samples as well as play samples across the keys, but not sure if there is an auto loop feature per se. I've had the PA80 for almost five years now and have never used the sampling feature. You can use custom voices in the styles, and I'm guessing that you could use sampled voices as well so this sounds like it should be possible. I'd also recommend posing the question at the Irish Acts forum. Lot's of avid Korg arranger users there.
I can do the same with FL studio and Orion Platinum as you with Ableton live. I use my laptop with one man band and I think it would be fairly straightforward to send a midi output from OMB to FL or Orion ( or in your case Live ) using Midi Thruway. I can send the Midi output of the PA80 into the laptop as well, so this should work without a hitch. I have already at times sent selected parts the PA80's style data via midi to one of my software hosts ( FL, Sonar, etc ) to get better voices for drums, bass lines etc. It sends midi clock data from the styles, so no problem syncing up.
I could just as easily assign the arranger output to a sample loop in FL and have it loop continuously with the style. I would simply modify one arranger style track so that it would send one note per style variation to trigger a looped sample. That note could be changed with each variation so that I could switch to a different sample loop each time I change variations. You should be able to do the same with Live using any arranger that will send midi style data out.
AJ
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AJ