(Sorry about the delay, we had an internet outage)
The rest hold data is the state that is stored as “Set as Dynamics”. This information wouldn’t be morph-able. You set it and its done, until set newly.
The Dynamics, if set active, will overwrite the Pose Morph (set into point mode) over time.
The Morph Deformer works to a certain degree, but not with the coordinates one might think, based on the Falloff.
I tried also to get something with the Edit Option/ Spline in Hair, but it really doesn’t work.
The Hair Material has for Curls an Advanced mode:
Perhaps, a more specific project, example file, might lead to other ideas. Let me know, I happy to into it.
All the best