My grandparents and great grandparents all lived on 4+ acre properties in rural Louisiana. Not quite cottages, but a similar concept. They had 1100 - 1300sq foot homes but lived along the river and you could get to all of their houses without ever leaving River Road. They lived about 1 hour from the nearest city and were about halfway between Baton Rouge and New Orleans and had a gigantic community social group. They knew everyone in town and my folks knew everyone in their town through them. Hell,
I know a lot of people in their hometown through them.
My parents own a 1600 sq foot house but live on a quarter acre lot and my dad has always regretted not purchasing an additional lot back when he purchased the land to build their house. They live in a suburb of New Orleans. They knew the neighbors and some of the people in the community who were from their hometowns.
I live in a 2400 sq foot house on a 1/5th of an acre lot and I am within a short drive from all the amenities of city life near Dallas. Can't say I know a whole lot of my neighbors. Everyone keeps to themselves.
Any time before second day shipping, if you had asked me if I wanted to live out on the land like my grandparents, I'd have looked at you like you had 3 heads.
Now though? I'd take it in a heartbeat. They had a garden that was over an acre. Trees filled with figs and oranges and pecans. A trellis built with railroad ties that was covered with grapes and blackberries and chayote depending on the time of the year. They always had enough root vegetables, cabbage, etc. to last through the winter months. No HOA to worry about, no zoning ordinances to mess with, you just live your life on your property.