In particular, the root was not sticking to mesh with hair dynamics.
Reason for this is missing HairKey weight upon conversion (everything
had zero weight). This then can not be corrected (since weight tool does
not allow to paint on roots).
So now, give the hair a default 1.0 to 0.0 weight gradient upon
conversion [which is in line with the default weight distribution for a
hair particle system].
Philipp Oeser