Recyclable or not, it's completely absurd that one-time-use cups are used for on-premises consumption in the first place. Given that it (surely!) takes vastly more resources to manufacture from scratch, transport to the place of use, and then dispose of an entire plastic cup than to rinse out a reusable container, there is clearly something desperately wrong with the accounting of the "invisible hand", which is meant to eliminate such inefficiencies.
I've no doubt that it "costs less", but in any sane world it shouldn't.