Communal bins mean everyone pays for everyone's garbage and/or lack of sorting.
Here the rate per kg is different depending on which bin it is, so you're "rewarded" for sorting properly.
At least in France, you sort the garbage then choose the correct communal bin to put it in.
The EU has laws for that and countries with communal bins are doing just fine.
Communal bins are even better for sorting trash as you can easily have seven different types* next to each other. Nobody wants seven personal bins in their yard.
https://eeb.org/en/library/explained-europes-new-laws-for-se...
* paper, textile, plastics, biowaste, chemical/oils, glass, other