LaPiere is wrong about universal background checks.
You really have to put yourself into the mindset of someone who is trying to deal with the problem (all the guns). The issue is one of triage:
1. Stem the growth in the problem (new people buying more guns).
2. Mopping up the problem
The most important thing in universal checks (logistically registration) is to pin the gun (and followup redtape to keep it, and ultimate surrendur) to a person, get rid of the "I sold it" crap they'd otherwise face.