[yummyfajitas]

There are a wide variety of routine (STD tests, birth control pills) and completely predictable (pregnancy) services where the ACA explicitly prohibits copays.

I've been told Singapore's forced savings + cat coverage plans are reasonably close to this, however. Hardly surprising given how well Singapore tends to govern.

But your broader point (or perhaps my steelman of it) that high copays are not incompatible with socialized medicine is absolutely correct.