Probably not, tbh.
I consider UK to be the greatest program of all time.
You can make a case for UCLA because they have 3 more titles but are vastly behind in every other category - but still, most serious CBB fans put UK at #1.
Now, you're telling me if you had the same scenario, except UCLA only had one more title than us, and you'd take UCLA's pedigree?
I'm sorry man, but I can't go with that. A school is more than just its championship years. UK is special because of its sustained excellence over nearly a century, and relatively few of those years have been championship seasons. Sure, those are the best seasons, but they're not the only successful ones.
To use a non-UK example, I'd take Kansas's pedigree over UCONN's any day, even though UCONN has one more championship.