As a garbage man, working for the city, I can understand your frustrations.

Whenever anyone asks me about cans. I usually just refer to 311.

I'm not going to take responsibility for anyone else's actions. And I'm not saying this reflects your situation, but I'd the can is severely cracked, sometimes it ends up in the back of the truck. You'd be surprised how many residents have cans that are hanging on by a thread and basically falling apart.

Edit: the blue bins are technically city property. For whatever that's worth.