Not quite correct, but close. The prop is hydraulically controlled variable pitch, but the hydraulics are controlled by the ECU (also known as FADEC) and the DA-40 TDI has two of those.
Sorry, i meant to say with the DA40Tdi the govenor was electronically controlled but the output was the standard hydraulics.
with the Cirrus there is a 'gate' on the throttle, when you are retarding the throttle and you hit the gate the CSU places the prop towards the fully fine pitch, a change noticible when your making a deadside decent.
Same thing again when you open the throttle once the throttle passes the gate the CSU alters the pitch of the prop slightly.
I also think it runs 50-100 rpm below the red line, you can also lean the engine off (much more helpful with EMAX) however if you get it wrong it fouls the plugs, most people i know of just leave the mixture fully rich (unless EMAX assisted) as the fuel pump is altitude compensating anyway. I think it was around 11/12GPH @ 25/25 3,000FT