Absolutely recycle metals

You don't need to; all trash, no matter the bin, goes under a magnet that will pick out anything ferromagnetic, and through an induction trap that will pick out non-ferromagnetic metals. Even if for some reason it gets dumped in a landfill, it's still possible to mine it out.

Aluminum in particular is more expensive to mine+refine than to recycle. Some places you can even throw it on the ground, and someone will pick it up to sell for recycling. Copper you can get even stolen from you, and don't start me on Palladium, some people will "recycle" the catalytic converter from your car if you don't park it in a safe place.