It depends on how you define “controllable”. Concurrent peaks, which is what I think you are saying is “complexity”, is absolutely where the resolution is required that we are asking about. In-rush currents, and concurrent load events, are what determine peak “watts” and is part of the decision making process when sizing DER, and applying load management logic.
Anecdotally, the “skinny” peaks are starting/in-rush current peaks in kW demand. The stepped/stacked peaks are concurrent running demand. A stiff grid is what we depend on to deliver these overlapping demand periods and unpredictable (without control) spikes.
