Glaciers have been melting in the north since the last ice age though. It may go faster now than it did 100 years ago, but with or without more CO2, glaciers were going to disappear many places.

In the very long term, and even then it was uncertain as the planet would be on a cooling trend right now. Even then, we’re talking about “glaciers might disappear in 10 000 years” versus “80% of alpine glaciers will be gone in a century”.

It's speculative so who knows. But northern Europe was covered fully by ice 12000 years ago. There has definitely been more melting since then, than what is left.