I don't know about the "distance" thing. I thought that I'd be OK with it, but I recently found out I kinda wasn't. I guess it depends on the context and who is looking at me.
I was at a show at my fave little spot in the Lower East Side of Manhattan last Wednesday night, and a comedian was on the stage walking around, looking at various people in the audience. I am a regular there, so I can usually claim the good small tables towards the front, about 15 feet from the stage, about 18-20 feet from performers. Anyway, every time she looked at me, or it appeared like she was looking at me but perhaps she was looking just past me or something, I had to look away. It was so awkward!
Maybe it's because it felt similar to having a spotlight shone on me? That's the only thing I can think of.
I've had that exact experience, and I think part of me worried the person was going to talk to me, putting me on stage, basically!