I've never understood why anyone would think this would matter. Like they're camping in our neighborhood for the week and this saves everyone money somehow?
Or the other tactic where they say "you might have noticed my truck around as I've done some work for <neighbor> and will be at <other neighbor>'s house later..."
They name people whose door they knocked on, got their name, and likely rejected. But they use those names on other prospects which makes it sound like word of mouth, the best form of advertising! "Oh, if my neighbor is using this guy for <Service> he must be good"... Really a brilliant tactic that I bet fools some people.
The only guy I really admired (but didn't use because I thought his prices were far too high) was a guy going door to door offering to clean the outside windows. He wanted $10/window and I was like no way. I'm sure he got a few customers.
It was only after just about every door-to-door salesman used that excuse that I clued in that he's probably just a sales guy going to random neighborhoods and not actually one of the workers on the ground doing the job. Anyway, my point is most people don't think about these things, and especially not new homeowners, and probably just take their word.
Regarding the $10/window guy: I've been meaning to get out the ladder and clean all my windows myself but have been lazy, so if somebody actually showed up at my door, quoted a price, and said they'd do it right then and there, I might take them up on the offer. It's really just a numbers game for them.
As for the “in the area” thing, it sounds logical at first and I’ve heard of neighbors negotiating a discount by getting the same job done by the same vendor but for jobs that take a good while if not multiple days, it just doesn’t matter.
This seems obvious to me. My neighbours were getting their gutters cleaned and needed to come in to our garden, I asked the guys if they'd do ours as well. We didn't negotiate too hard on price, but I'm sure if pushed they would have taken something less than they'd charge to drive out and set up their equipment from scratch.