You're asking for an unbiased opinion about a JEM vs. a Les Paul on JEMSITE????
Um . . .
Okay . . .
But seriously, I've played a few Jems and Les Pauls in my time and I'd take a Jem over a Les Paul any day. You can simply do more with it.
The Les Pauls have their place, great guitars (Gibson models are insanely over-priced, but that's another discussion) and they do what they do, but in my opinion Jems will do most of what a Les Paul does, most of what a Strat does, and just about everything in between, plus things that only a Jem can do. :-)
Oh, by the way, I DON'T own either, so my opinion is about as unbiased as I guess it can be.