I leave it on the cool side. I have a Carpet and a King that won't take it from me, they eat off hides.
A couple of BP that need me to leave the room, a BP that needs the dance.
My BRB only eats off a plate now (used to snatch it right up)

None of them seem picky about the temp of the rodent so I always leave it on the cool side. So just in case I forget to do my 2nd or 3rd round check on who has ate, the rat won't be sitting on heat all night. Waking up to that is really nasty :p

My BCIs always pounce on the rat, never had a problem with them eating.