Stayed in many many hotels with work, from Holiday Inn Express to luxury boutique places. Taken my bike into most of them, only once did someone stop me and that was some teenage kid behind the desk in a really crap family run place. Hotel chains know which side their bread is buttered, so they don’t care. Or if they do they don’t let it show.
I try not to take the piss with muddy bikes, but sometimes they go in with a bit of mud. I’ve cleaned a couple in the shower though, that is really hard work. Usually a dirtworker in the car boot does the job if I have the car.
Some places offer to keep it in storage because they are concerned I don’t want it in my room, and one of the posh places insisted on putting it in storage for me, but only one time.