ranaa! 🌠 it’s a great question and I’d thought about it whilst creating this concept. I thought about a hierarchy system like you suggested, but it gets quite complicated with so many different combination options.
For the most straight forward experience, the most recent process would always show, and since it’s a display, a tap of Active Lattice would open a list of all the processes actively running. These would be in bubbles that can be tapped to open the apps responsible for that process - similar to OnePlus’s implementation. System processes like the torch and NFC would open Quick Settings instead.