There is when the city is getting paid for the recycled material.
In fact some cities offset the price of trash service with the money from recycling. Which is part of the impetus to fine people for not separating. You’re costing the city money.
From what i've read, aluminum is about the only thing that is remotely valuable, and can deposits tend take care of that. Paper and glass especially are EV negative, and composting a la NYC is yuppie feel good nonsense.
Composting is bullshit until we’ve mandated that produce stickers be fully biodegradable. Nothing put me off city compost like finding microplastics everywhere in the pile.