The problem is people mix up the overturning part of the AMOC and other overlapping streams.
And while the AMOC is powered quite a bit by water cooling down in the Arctic etc. the other streams are also to a huge degree powered by earth rotation AFIK.
In other words they won't stop, and likely won't slow down that much either. And that is if the AMOC stops instead of just slowing down quite a bit.
E.g. the rotation consisting of Gulf, Canary, N. Equatorial stream and N. Atlantic drift won't stop, but it will reach less far north and potentially colder. Similar for the other "rotations" like that (e.g. BrazilAfrica) which the overturning stream overlaps with, through some parts might somewhat change their forms and water temperatures.
Or in other word while the absence of the AMOC can cool down GB/Ireland it won't remove all effects.
Expecting similar climate to other (coast) areas on the same latitude is ... not that useful. There are many different ocean current not affected by a stopping overturning current affecting the weather, additional even on coastal areas the wetter isn't always dominated by the ocean climate but can sometimes be largely affected by a constant strong weather front from the country side (both hotter and colder) and in some places that is a common occurrence due to the geography.
It still will likely be ... unpleasant in various ways.