This papers is just arguing that the "hot" predictions should be less intense, because they are not very good at reproducing some specific past dataset.
That has nothing to do with a problem with hot models - it's a slight modification to them.
You seem to be arguing in bad faith. Your article even seems to imply that the hot models are fine with predicting present data, just jot the data of the last ice age. Who cares? What has that got to do with anything? No one is only looking at the hot model!