Kinda, not really. In the wild, pigeons build their nests on cliffs, so they really only need just enough nest to keep the eggs from rolling off. That’s why they make dopey lil stick piles instead of proper bowl-shaped nests
I’m not an ornithologist, so the following is my own uneducated hypothesis: pigeons haven’t adapted to live in cities, cities just mimic their natural habitats. They’ve survived this well because we’ve made great big terrariums for them
Pigeons spend a long time in the nest, so if they survive long enough to leave, they’ll basically look like regular pigeons
At least, that’s what they want you to think