An async system which poisons the rest of my code to force async usage doesn't seem like it will scale to code leveraging multiple libraries and will likely fail at the first lib where the author decided not to bother. The beauty of coroutines in go and Java(soon) is that the async functionality remains local to the code that can make use of it - everyone else just sees a thread-like API.
In a codebase where concurrency is carefully controlled and constrained, an async system that gives you visibility into where the yield points are is very valuable: https://glyph.twistedmatrix.com/2014/02/unyielding.html .
You are quite correct. This happens.
That's the bit you'd use an async runtime for, in a (mostly) dedicated thread.
The heavy computations would be in other threads that aren't doing so.