Yeah, I'd agree that draining "hot" is much more likely to dissolve more crud and wash it out. However, I've burned myself plenty of times on hot things, including hot oil, while under my vehicle.
So I typically allow my cars to cool a bit once I have them up on ramps.
If you are under there on your back, and it is 100 degrees out there, you have limited room to move, and it is just plain miserable outside. Then do it in the morning.
I've also allowed my truck and SUV to cool overnight and do the OCI first thing in the morning.
Sure it is cold oil, and there may be some goo left in the bottom of the oil pan that would otherwise be melted and held in suspension.
But it makes my life easier.
Besides, I only go 5000-6000 miles on an OCI.
Perhaps I am a Party Pooper. Perhaps I like feeling of not baking between a concrete griddle and my heating element like engine.
(In the winter it can be kind of cozy under there)
To each his own.