Yes, however it seems they may have change how they deal with this after reading all of the replies. I contacted them through the nest app, go to "account" and then "manage account" that will take you to your google account, scroll to the bottom and click "see help options" and their number is there
Unfortunately I was told the same after contacting them.. They advised me to purchase an aftermarket silicone sleeve for the doorbell, which would cover the peeling and ‘protect’ it as they said.
Strange that Google processes these claims in a somewhat subjective matter, especially seen the fact that they confirmed that it was a known issue / manufacturing flaw.
I understand that warranty outside the warranty period is not something that you can count on, but it gives a less positive vibe to find out Google acts this way on a case to case claim. One lucky one gets it, the other one doesn’t, I suppose.