and they certainly treated specific items as “valuable” (historical items, weapons, and especially liquor.)

Historical items definitely have non-monetary value. They can’t truly be replaced since, no matter how accurate the replica, only the one chair will be the Enterprise-A’s captain’s chair, for example. Replicators have software restrictions on what you can make with them, so you can’t just replicate weapons under normal circumstances, which creates scarcity and gives them value. Starfleet replicators also seem to be restricted from creating alcohol, which means most of the characters we see can only get it on shore leave, which also creates scarcity and therefor value. Alcohol is probably significantly less scarce when sourced through civilian replicators. The ones on DS9 are programmed with Starfleet’s restrictions, though.