My card has three outputs, dvi , hdmi and dp. I am actually using a dp to hdmi adapter, so the none of the monitors are dp ! Still the port is dp, so MAYBE it doesnt matter.
I have used all 3 of those you mention and never had a problem unless I used the sleep function. I learned a long time ago to never do that again. And it took me a while to even realize it was the sleep function creating the problem.