Unlike our old area[1], I now drop bicycle tires/tubes into
a pile of motor vehicle tires when I drop cardboard, glass,
aluminum etc.
Even a busy month of bicycle shop rubber weighs less than
one typical tractor/combine tire (of which there are many).
The theory is fine but in practice bicycle shops don't
generate enough mass to make this efficient except where my
labor and truck costs are a 'freebie' input.
[1] all-in-one-bin system (rubber not accepted), the most
inefficient format.