Horizontal (left-to-right) sequencer displays like a piano roll or step sequencer are far more compact to display and easier to read. For drums parts, it's one dimensional until you add a second layer, and then the parts stack vertically, nicely on top of each other.
It's all to say that I don't really see much advantage in this petri nets paradigm. Even the trigger conditions and probabilities have already been incorporated into a large number of DAWs and hardware sequencers. This feels a little like someone who has discovered fire independently from the rest of civilization, but in this day and age I don't think that counts for much when all they had to do was observe the design paradigms that already exist.
In the end, the proof is in the pudding: How good is the music made with the tool? Does the technique allow us to more easily do something that was previously difficult or tedious? In this case, I'm not yet seeing it.