Hi, the cirrus aircraft is indeed fitted with a conventional CSU using oil for the hydraulic movement on the prop.
to my knowledge the VP prop control is purely mechanical, there is a complex linkage attached to the throttle on the centre console which sets the pitch according to the throttle position, also at 1,700 RPM (if i remember) there is another mechanism to exercise the CSU which happens automatically once the throttle is held at 1,700 RPM
I think the wobbly prop on the DA 40 (Tdi models) is electronic and you push a button which exercises the CSU. (hope im right there...)