[dsacco]

The paper you cite is a good one, but it's actually demonstrating that the person you're responding to is correct (and you two are agreeing). In fact, Rogaway and Shrimpton specifically state that their constructions may appear somewhat contrived; this is because collision resistance does imply provisional preimage resistance, and in the real world it's quite difficult to construct (useful) collision resistance without preimage resistance.

So to answer your original question succinctly: collision resistance implies provisional preimage resistance, which is the setting for most real world hash functions, including post-quantum hash-based signatures.