I was without a tv for a few years. Finances were tight and it was the choice of £6 a week for food, or if I ditched the TV and licence, about £11 a week for food, which is much more doable. (Well, it was in 2006).
I only had one visit, and I was in the bath, so when I answered the door in a towel he was far too polite to ask if he could come in. I did get lots of letters though.
The strangest thing was the problem I had with the electricity company - they didn't believe the meter readings were so low, and were convinced I was scamming them. They, too, insisted on visiting and I did let them in. Over the phone, they just didn't get it:
"No, I don't have a washing machine, I use the laundrette. No, I don't have a PC, I have a low-energy laptop. No, I don't have a sound system, dishwasher, television..."
"What do you mean, you don't have a television?"
"I don't have a television."
Silence.
Followed by, "Blimey, you must have really good views where you live."