I know there are a lot of home fixes to resolving minute "flaws" in old records and I employ some on occasion, however, I have never tried sandpaper?!
Um. It's an interesting project, and it worked, but I can't imagine using sandpaper on any LP of worth, EVER. The fix here was on a thrift-store record; I wouldn't try this on say, a $20 LP. Even if I had nothing but beat-up LPs, I don't think I'd bother with this method. Really, I don't have time and certainly don't need to impress my pals with how well I can sand and wax a scratch out of a record. Instead I'd go find a better copy. That said, anyone ever use sandpaper to fix a 'click?' I've also heard about the polishing compound as a fix too, but no one was ever totally successful at getting the leftover compound out of the grooves.
PS: For his last step, the feller uses his turntable as a base for wiping the Goo Gone from the LP...uh, I don't suggest using the turntable PLATTER as your cleaning base, EVER. If you use the platter to wipe your records clean, bearing down on the platter cold be a quick way to fuck up your deck. Your deck is quite delicate and a broke turntable you prolly won't be able to fix with sandpaper.