I don't travel much any more, but it was typical for me to not even consider renting a room until around dinner time for that night. I like to be flexible and see where I'm at when the time comes.
A decade ago when I did a lot of traveling internationally, I could find deeply discounted rooms that had not rented by the evening. I'm not sure if this is the modern practice but back then I think the hotels believed renting a room for 1/2 off was better than having it sit vacant. I saved a lot of money doing that, waiting until after dinner, and looking to see what was available.