Isn't it possible to decouple the two components, that is break the post-quantum one on classical computer and the classical one on a quantum computer, essentially making this combination null?
Yes absolutely: If both security elements fail (quantum computers that break classical crypto appear, and the supposed post-quantum element turns out to be insecure as well) then you're screwed. By combining you get a chain is as strong as the strongest link - but not stronger! The motivation with combining is to avoid a scenario where you start using a new post-quantum algorithm which turns out to be really insecure (like happened to SPHINCS+) so you're actually worse off.