An analogue, I think not. The entire premise of today's climate change is that the climate is being changed by the actions of humans. Without evil humans, the climate would be benign and whoever might inherit the Earth will enjoy a never ending paradise. But the climate change of the PETM could not have been caused by humans, it was a completely nature event. They have been trapped by their ever desperate illogical dogma.
Exactly. There is no analog because there is no warming and previous warming was before technology.