Some camping limit the power usage to 15 amp per campsite and other 30 amp per campsite. They put a breaker directly where you plug your RV to limit the power usage. Yes, the heat gun thing is very confusing.My brother, when I was quite young, lived in a condominium. A couple times he couldn't pay his bill so since it was winter the power company was prohibited from shutting people with children off. So they put a device that would limit the amount of current he could draw. It was enough power to run the heat and lights and maybe some cooking apparatus but nothing big power.
When people rent campsites with electric hookup there must be some way of controlling how much power is being used by a camper/RV. I don't know - I've never rented a campsite with electricity. Never even looked into it. Still, I don't think that's the problem. Some are suggesting wire size, which WILL make a difference. Others suggest the plug itself may be a poor connection. While all that is valid, I still don't see how using less power can make the relay chatter as opposed to using more power. That's what I'm hung up on.