Point pressure translated to force/square inch can lead to scary numbers. The first version I saw of this was translating the force of a high heel worn by a 125 pound woman. Suddenly it makes sense how a high heel can put dents in a wood floor.

I don't know about the temperature claims. Certainly there is heat generated. It's possible that on an incredibly small level there is a single friction point generating that much heat but clearly this point is meaninglessly small as LPs sound great great after many playings.

I think that Stylast however actively repairs the vinyl as it plays. It remembers where the vinyl was before the tip passes and repairs it immediately after.