A stylus imitates a cutting head. Why would it not try to cut a groove on a blank test disc? Please read again carefully my reply to @jw944ts about how a stylus tracks a groove. Don’t suggest he is carving up his records…. “If true, it would render most LPs unplayable” Your words
“What is the size of your test study?” Your words to me. Please don’t make me laugh, admit you got a bit hot. Ask anyone with a Shure trackability obstacle course LP to have a look at their blank “anti-skate” test bands and come back to me.
Any neutrals out there wish to give cleeds a “pronouncement” with their findings to save him the bother? It would greatly help increase “the sample size” of the “study”

