Do you have a lapping bar? If so, put it in the rings without the top straps and make sure that it slides back and forth, and rotates easily. If you don't have a bar, do the same with the scope. If the rings are misaligned, you can sometimes feel it. You can also use a small flashlight to inspect the gap between the ring bore and scope tube. Most likely there will be a gap! Compare the gaps on both rings, they should be similar.
You could also tighten only one ring and see if the scope lifts off of the other ring. Repeat with the other ring.
Last, or maybe first (!), you could try attaching just one ring in the suspect area and see if the parallax binds. This could be off the rifle, or even mounted backwards on the rifle, so that you are only making contact in that one area if that makes sense.