@mulveling I have not seen any hard data, however, I have personally witnessed an LP that had been damaged by just one pass of a worn out stylus ( A friend had inadvertently played a new album on his worn out stylus and then I played it back after one play on my system with my new cartridge....). The problem is that the stylus shape ( being worn) is now essentially damaging the groove as it passes through. This is easy to understand, as the stylus is now cutting into the vinyl. I had a conversation several years back with Harry Pearson about this issue, and he concurred that the problem is that one really cannot hear what is damaged when listening to a cartridge that is worn out. Only upon a replay with a fresh cartridge will the damage become obvious.
As you say, we all own LP’s that have damaged grooves in our collections. The reason many times, besides the usual scratches due to poor handling and storage, is because the groove wall is damaged, and this is NOT something that can be seen under light! The result is a loss of high frequency extension and usually a lot more background hash and noise. The proverbial....noisy pressing.