Well, that video didn't fix my PSP, so I returned it to Target, took my money, and went to buy a new one at Gamestop with my $250 in credit. The new one has no pixel issues that I can see, and the analog nub doesn't click like the old one, so I believe my other unit had a faulty analog nub.
All in all a great swap, as I got to use my credit and get a better unit.