There's
an article on the BBC website about the effect of climate change on the Gulf Stream which concludes;
The IPCC believe it is very likely that the Gulf Stream will slow down during the 21st Century but very unlikely it will undergo a ‘large abrupt transition’. The average reduction predicted by the various models used is 25%. This slowing will have a cooling effect but the temperature will still increase in the region overall. It suggests that the British Isles, especially western regions, will see a significantly smaller temperature increase than other areas of land mass.
I don't know if that contradicts other predictions, but even if not it softens them.