It appears all the "disk" labels are categorical. The concept I'm trying to find the name for is the continuous, slow, asymptotic reduction in the number of disjoint particles/collections spinning around a star. All the relevant "disk" labels would probably be all those on the right side of this curve, where water is present.
I would think the Sun, with its photons and charged particles, and the various electrostatics (like triboelectric) involved, would be the energy source. The disk starts, somewhat evenly distributed, with a whole annulus of surfaces in the Goldilockz zone, with water, etc present. Through time, these bounce off one another, eject bits, stick on others, preserve bits in ice, etc, smearing/spreading whatever allowed their synthesis.
Looks like this maybe has merit, with organic molecules found [1].
(I'm far outside by expertise here.)