I know first-gen DL1000 and DL650 rears are the same. The fronts are different because the DL1000 has a larger axle and no speedo drive.
However, I'm not sure about this particular swap with a 2012+ DL650. You also didn't specify which direction you're swapping.
I think it would roll and get you home. The bearings and brake rotors are the same. There might be some small differences in the spacers.
But I don't believe the DL1000 wheel has the three mounting holes for the 650's ABS ring.
So you could probably (no guarantees) put the 2013 DL650 wheel on the 2009 DL1000 and just ignore the ABS ring.
Or you could but the DL1000 wheel on the DL650, but the ABS wouldn't work and the warning light would be annoying. Then again, maybe you could drill and tap some mounting holes; they're only M5.
2002 Suzuki DL1000 V-Strom, Dark Metallic Space Blue
1983 Suzuki GS850G, Cosmic Blue
2005 KLR685, Aztec Red - Turd II.2, the ReReTurdening