So, you'd probably be right if I was better in my explanation/ my attention to detail. I guess I assumed the wheels were spinning in opposite directions. They do spin the same direction when both are off the ground, hence the LSD.
After reading on this and other forums about a few different folks having similar problems, I decided the LSD was a highly likely culprit. I picked up some LSD additive from AutoZone, drained out ~7oz of fluid in the rear diff, then added the 7oz of additive. This seems to have fixed the issue (and for only $9!!). If it comes back, I'll update the post, but the problem seems to have been solved at this point.