Well do let me know what you find out when you try it.
I just did some flying around again, turns out the plane will trim itself back only after I push on the control column to stay at the same altitude. At this point the speed has gone down by approximately 20kts, so the plane will pitch down, hence losing altitude. No inputs to the throttle are being made I should add. I must be doing something wrong here, my approaches are pretty good though, it's just this one issue bugging me.