RE: Does your DA50 do this?
It seems that not all of the DA-50 Engines have this problem.
If you do have the problem, it will manifest its self when .... (my experience )
1.) The Plane is sitting in a nose high position while idling, then the tail is raised.
2.) Sudden Stops or turns.
3.) Plane descends a grade.
I never had a problem in the air, but I kept the idle on the high side (high / low on a switch).
Since I even had a higher than normal idle (low switch setting) landing was a little bit of a problem ... so I went to a lower pitch prop ( 22 X 8 ).
The best "Guess" of the cause I have heard is:
The fuel is pooling in front of the carburetor spacer, then when the nose is raised etc., the fuel flows down into the inverted cylinder past the rings and chokes the engine. After the rings fully seat ( 5 to 6 gallons of gas ), the problem goes away.
Maybe this is why some people have the problem, some don't .... Inverted vs upright vs side mounting. Never did a survey.
A very lean needle and throttle delay helped me through this period.
Good Luck .... it's a good engine after break-in.