Compared to other ways of writing down musical rhythm, I've found this to be a very nice balance of simplicity and expressiveness. Standard notation and drum sequencers have a lot of ambiguity (at least to my non-expert ear) when it comes to swing, microtiming, groove, and the other little things that we think of that make a rhythm attractive. Godfried T. Toussaint has given this idea a full academic exploration. He calls these Petri nets "necklaces", a term borrowed from combinatorics.
Can you clarify how this better helps express swing compared to a piano roll?