Sculpt mode needs to be responsive.
Light cache of a probe takes some time to be computed. An update would start at each brushstroke.
EEVEE quality can be pushed far enough to expect this kind of attempt to be unusable.
Dyntopo works with EEVEE. But in order to be dynamic, dyntopo ignores materials. So, you can only sculpt grey objects in EEVEE.
But we can expect a usable workflow where we could make several sculpt strokes with workbench solid display and quickly switch to EEVEE, wait 1 or 2 second and check EEVEE result ; and then go back to solid display to continue sculpting session.
Currently, you have to go back to object mode to see updates of geometry+material.
But I doubt that would stay as is.