In the big city I do have less interactions with neighbors, but on the other hand, whatever my interest is and however fringe, I will find likeminded people.
I reckon it depends a lot on how far away your interests are from the norm as well as which and what part of the city you are living. The neighborhood I'm in, people do spent quite a lot of time in the corner cafes, restaurants and park and are open to make new friends, instead of just leaving the apartment to go to work.
Naturally everyone does both but in the RPG of life some rogues tend to hang out in the rogues guild in town while others want to be out in a dungeon alongside wizards and warriors.
Panty-sniffing busybodies with nothing to do but mind other peoples' business are a major reason I've lived in cities since I had the option.
Again I funnily enough have the exact opposite experience. In my experience if you live near 1000 people there are a higher risk of there being "gossipy busybodies" than if you live near 100 people or 10. In my opinion the difference is not the amount of people that talk rumors, as it is likely always around the same percentage, but that they drown out in a big city. So I guess the question is, if that is true: Do you care about the rumor or about hearing the rumor?
All it takes to ruin it is one bad neighbor. I went from party and traffic noise, people trying to threaten me to back off when I complained of noise and drugs being sold to waving to people in the neighborhood, walking our dogs together, helping out when a car is broken down, etc. It is like night and day.