Depends on the J-custom...
I have a VWH and an JCRG-Art, I love them both. The Art has a tone that is more what I'm after than the VWH, but they "feel" different. The Jem has those inbetween tones that I can't get with the Art, but the Art also gets this killer bluesy tone that I can't get with any other guitar I own...something about the Tonezone and air norton in combination is just smoking. Tonally, I'm more drawn to basswood guitars than any other tonewood, the alder of the jem may just be a tad bright in some cases. You'd think the thick maple on the Art and the maple fretboard would make it too bright, but you'd be totally wrong...at least with respect to mine...it sound fantastic, extremely even and balanced.
My Jem is in pretty much player condition, it's a '95 and has been around a few blocks and has been my main guitar. The Art I bought because I think they are incredible looking and really hard to come by, so I jumped when I had the chance....not knowing that it would be at the top of my best sounding guitars list. It's a tight race between the Art and the JPM P4 as my best 6 strings. Smoother pickups in the Jem would pull it into the fight tonewise. Playability is just about equal across the board even though all three have pretty different neck profiles.
If I didn't have a Jem or a J-Custom...I'd probably say jump on the J-Custom. VWH's will always be in great supply, finding one is not hard at all. The good JCs are uncommon and difficult to obtain, if you find a good one...don't blink or it'll be in someone else's hands. They are for the most part great guitars.