As I see it:
You don't need to inform of your operational plan, as you have been told it depends, but one thing is to inform: "hello, dear sir, we have a team protecting a guy in room/table... and would appreciate to know about your contingency plans, emergency exists, security on place... thank you!"
The other is plain silly, telling anyone outside the team your plan means losing the plan.
Before going to any hotel or restaurant you will do some scouting and if the place has a service will/would notice you. Therefore it is good to let things flow and show respect for other professionals allowing them to know that they are not facing a regular day/night at their venue but sharing the ground with your team.
Just imagine what would you do if something happens in your venue and nobody told you about a vip or whoever; treat everyone as potential trouble, isn't it? On the other hand if something happens and you know that there is another team on place you can concentrate your effort on the regular visitors and leave that team deal with their protected one, plenty of times your best decision would be exfil the vip... from your venue asap to deactivate any mess, if his own team can do that just with one of your guys leaves you almost undamaged to respond to any situation.
PS: I may be wrong, still just a faulty human being.