I can't speak of other types of pigeons, but mourning doves have a really stupid reputation around here. Maybe not stupid exactly, but extremely slow to react which leads to people thinking of them as slow mentally. It's like you open a door to go outside and every other bird flies away, but the dove will just sit there walking around until you're almost on top of it. This is different from birds that learn and become tame around specific people in specific situations, like my house has had generations of robins hanging around, but they're still quick to frighten and watch us intently.
Mourning doves? They will sit in the street until they're almost run over by cars. They will sit near a hawk while other birds give it a wide berth. Something falls over like a branch or potted plant? Other birds fly away instantly, doves sit there for about 3 seconds and then fly way. And it's not that they're "hiding", they're moving around and sometimes even chirping during this. I guess they've just never had an evolutionary pressure to improve since they're obviously doing quite well
They're nice, calm birds and it's cool how they're usually together as couples (they mate for life I think) and I don't have any problem with them, it's just weird how different they are from other birds.