Asked by Samuel
I forwarded your question to an expert in this topic, Peter Abbott from Swansea University. Here is what he said:
Simple answer is that it is related to the rapid acceleration and reorganisation of the thermohaline circulation and the shift in state between stadial and interstadial conditions, which aids the rapid transport of heat to the Northern Hemipshere. The rapid changes in the marine environment are also related to rapid reorganisations in the atmosphere from the tropics to the high northern latitudes which aid in this heat transfer.