Yeah, that was a poor analogy. It's more like "since the last ice age". If the AMOC collapses, expect Iceland to become completely surrounded by sea ice, without gaps. It'll take awhile, but that's what to expect. (But you probably won't be able to ski from Iceland to Greenland.)
OTOH, expect this to eventually cause the Bering Strait to freeze solid. (I said "eventually". This would take awhile.) Also the US east coast would get a lot colder, though nothing like Europe. There's no really good historic model. We're in an ice age, astronomically speaking, it's only the CO2 that's been keeping glaciers from growing. But we've way overdone the CO2. The oceans are acidifying AND warming up. When they get warmer, they hold fewer dissolved gases (like Oxygen, Methane, and CO2). And it's happening too fast. When the oceans hold less Oxygen, it's harder for the sealife to breathe. ETC.