In large cities I think most of the issue has two parts, neither of which is due to the design of the trash receptacle.
The first is with too infrequent trash pickups at the sites of the public trash receptacles.
The second is with folks who take their daily trash from their residence and want to put it in the public trash receptacles on the street, instead of using whatever is established for trash pick up at their residence. I have seen that practice all over NYC.
Trash problems are usually with people, not the design of the receptacles.
Why would they do that? I’ve never lived in a city