Presenting yourself as "not the owner"

[Bienes Raices]

For those who own properties in an LLC and tell the applicants that you're the property mgr, not the owner, do they continue to press you about the nature of the LLC and who its members are? The reason I'm asking is because on the property I just rented out (which I own under my own name, for now anyway), I had a number of people who acted like real busybodies ("how many properties do you own?", etc.). Also some people who are very suspicious about the property possibly going into foreclosure. I understand that concern, but it gets tedious.

I know that they can figure out who's in the LLC if they snoop around, but I'm not sure how sophisticated most of these people are in that regard.