It's on the record that he went through whatever helicopter basic/initial course they were running at RAF Shawbury back in the day. That led to the award of his wings, so he most definitely was a qualified helicopter pilot.
After the Shawbury course he did the initial Apache course that led to the gunner/co-pilot qual (FWIW as I understand it the Apache has dual flying controls and the gunner/co-pilot sits in the front seat).
Some time after that (? his first time in Afghan..) as@BrittleVeneers, rightly points out he then went through the Apache Command course.
So fundamentally there shouldn't be any question marks over whether he could at least for a while in his career fly/hover/take off and land a helicopter....but those are all perishable skills, he would need to retrain and requalify to fly anything now.
As far as the display video goes it's maybe worth being aware pilots doing actual proper display flying that involve some sort of routine usually require specific training and a whole lot more in the way of supervision and recurrent training, it's not just a case of picking any old Bloggs out of the crew room and telling them to go and fly a display.
As a result when that video initially aired (obviously a few years back now) I remember discussion about whether the media were reporting things completely accurately.