I can't comment on the comparison to Squier VM Jazz with Dimarzio Model J's as I've never tried it, but I have recently picked up a Cort A6 which has the same stock electronics I believe.
The pick ups are fine (although I'm looking to swap them for the MK6s at some point soon). The pre isn't too bad - a little harsh on the treble as reported elsewhere in my opinion, but still very usable. I changed that out for a Bart NTMB and sounds even better now.
Not what you asked, but I hope it may be of some use.