Frizzle,
There's a lot of good advice above. I may repeat a few items but I'm going to try fill in missing.
1st, in todays world hotel staff are required as part of their job to be friendly to guests, and to say hi to everyone and start their services mantra. A quick good evening or whatever is appropriate to throw back at them.
Nowadays you almost always have to go past front desk (except older hotels), so be busy, have something in your hands, etc.
Whichever of the two folks has the room should provide directions to elevator.
Any decent hotel nowadays has cameras most everywhere. Insurance companies require it to stop stupid drunk civie slip and fall lawsuits. So save the 1st kiss, and the sleepwear, till doors are closed, and do not hang out in hall. Whomever has the room should know the walking time to get to room from elevators and a perfect timing has door open before a knock.
Here are hotel staff concerns:
Fire safety
Narco crap
Drunk civies
Domestic Violence
Restocking the breakfast counter
A couple other things
Thus, a couple folks having an affair is not a concern.
As for staff, I've started arguments between front desk staff by asking where the best bbq is, or Italian, or steaks, whiskey, or ....
And, never hack off staff, especially maids. Just let them do their jobs.
As for cops at hotels. Sometimes they use conference rooms for meetings. I know of one instance where a couple were having an affair. Mostly they show to break up a civie problem. Raggy hotels frequently attract guests that have civie issues that cause leo to arrive.