Parallelism introduces additional hazards such as data races, which are not present in concurrent code that lacks parallelism.
Maybe there's a more appropriate term than multiplexing, but I think that's certainly better than concurrency at describing it.
A more accurate statement would be that parallelism introduces additional possibilities for data races than those possible from concurrent execution (without parallelism).
Threads+locking introduce data race issues into Harmony's model. As far as I can tell.