Frankly, I'm surprised that department policy does not forbid bringing a non-police-officer on such a task.
Sixto said that it peeves him when the owner won't come out; but who can blame them? They're not deputized; they will be told not to draw their own weapon; and they're not trained in room-clearing tactics, generally. How can you expect them to want to go room-to-room with you? If they end up shooting someone, is the department's lawyer going to defend them for free? If they get shot, can the cop cure their trauma or bring them back to life?
Frankly, I personally would want to be in on the excitement, and possibly be there to see a badguy who was burglarizing my place get nabbed, but I can see why many would not want to go, and I can't blame them, the way Sixto does.