I'll go back on what I said about the Amy Grant record. It still skips and loops on all problematic records, and there's even more distortion and sibilance. Considering I've ruled out pretty much everything else by this point, I'll blame the cheap aftermarket stylus. Should have gotten a genuine one (as in the ATN81CP stylus) instead

Also, come to think about it, the stylus I got might not have even been a Phansteihl one. It didn't come in a Phansteihl box but rather a clear plastic case with no brand name. I just thought it was because the listing for it on eBay had Phansteihl's model number for that stylus. Besides that, the listing made no mention of Phansteihl.