I'm quite familiar with the distinction you're trying to make but the term concurrency is not that strict in common usage:
“In computer science, concurrency is a property of systems in which several computations are executing simultaneously, and potentially interacting with each other. The computations may be executing on multiple cores in the same chip, preemptively time-shared threads on the same processor, or executed on physically separated processors.”
If you were to go back and reread my comment, note that I used the broader term concurrency at the start – which includes both classic async patterns within a single thread where operations may be interleaved but shared resources wouldn't be updated simultaneously as well as true parallel execution – and then specifically referred to parallel execution at the end as a source of potential pitfalls.
