That really does not make any sense to me. Did the person who posted this try to pry it out and potentially cause that "damage"? Because that rubber lip is very thin and I don't find it conceivable that pulling it out could cause damage to the underlying cupholder.
On a side note, i have a "AOSK for Tesla Refreshed Model S Center Console Cup Holder Insert 2021 2022 New Model S" which I bought before taking delivery of my 2022+ and no longer need it. If anyone wants it, I will give it to you for free (just pay the shipping). Send me a PM.