It's rare, but I have heard of folks getting a text with a room number, then not showing up until very late (like, they went to a park or something), and the room number had changed.
I personally prefer to arrive early if possible. That way, if the room has any severe issues, it's easier for them to find another room if possible.
Also, at other hotels, we've found upgrades were very likely (ones that we had frequented like the Ritz Carlton before they joined Marriott rewards) to happen. Later in the day, obviously more rooms are filled, so the staff has less to pick from if there is any issue with your room.