I use a 6" BP with my 7 .5" wool pads. The way i do 2 step corrections is rotary first on a section and then I reach for my Flex 3401 to finish out final gloss. Then move over to the next section. I keep both machines plugged in on my cart and advance around the vehicle that way. My rotary cools down between uses but yes, machine heat is an issue. My pads don't seem to heat up much though. My rotary sits, rests and cools down while I work the Flex.
BTW, the Flex gets very hot as well.
My approach is that a hard clearcoat that's trashed takes at least 2 steps to level down. My rotary does the significant amount of cut but inevitably leaves some stuff to clean up...thus the 3401 DA with a finer polish and pad to extract max gloss and shine.
I had a black Escalade this weekend and with a LOT of paint to cut and buff I do believe I saved some time by going with a 7.5" wool pad and my rotary.