That's a great overview. Yeah they are asymmetric, Wikipedia says symmetric and asymmetric correspond to coroutines and semicoroutines. They are also stackful and delimited. They are single shot by design, though I could easily make it possible to restart the generator from scratch if needed.
As for single prompt vs multiprompt... I'm not too sure about this one. I have a check to prevent recursion but nesting generators shouldn't be a problem since they keep track of their own callers.
I think lone's generators have composability issues due to the stack separation. For example, calling a generator g2 inside another generator g1 doesn't transparently yield values from g2 to g1's caller. I've been wondering about how to fix this without a Python-like yield from primitive.