it seems like I didn't get nearly as much deck cycling as Apothecary normally gets by itself. This confuses me, since Highway cantrips.
But if your deck is only like 25% Copper, the Apothecaries themselves aren't actually going to draw a lot of cards. They only cycle quickly in decks with very little other stuff. Once you add a lot of other actions, the function shifts to primarily sorting cards, and you just have a weaker version of Cartographer.
Wouldn't say it's weaker...
On the whole, it's not weaker, because it's much stronger early on, but once your deck is full of actions and you're not really drawing any Copper into your hand, it is in general weaker. The +$1 from drawing the Copper can help, but probably not more than potentially discarding other unwanted cards. I don't know, maybe it's a wash on average.