Is there a mod that adds a zone in which certain residents can be located (they made it a priority to be there, collecting things only there) or, on the contrary, pushing (bypassing this zone)?
No not as of now
There is a mod that lets you mark zone areas that are assigned to 1 hearthling that you choose (like giving hearthlings their own bed), so you could let them be the only one to enter their house, or a wilderness area to harvest trees and plants, or a mining area, etc. Try experimenting with it!
On Steam: Entity Blocker Zones
For priority gathering, set filters to supply shelves, or supply bins to get the Hearthlings to fill them up as top priority.
Wow thanks. Or maybe you also know a mod that forcibly throws out items that are in objects (chests, shelves, characters)?