There are many. Some of the Basks were very hot.. just like some of the SCOL QHs are hot, or some of the Peptos. They are a very high level performance horse, and when they are, sometimes they are hot. But the vast majority are not. They are crossed with TBs to improve the disposition. They were crossed with QHs until the 60s to improve disposition.

Some of the extremely calm ones would be Khemosabi, Desperado V, and Fame VF bred horses.