I think he was at a weird intersection where doing all the things he "should" have in the case of an actual engine failure, (try to restart it, make a radio call, try to land (there were plenty of options to land)) and somehow faking that none of those worked / were not sufficient .... would also have introduced a lot of variables he couldn't control / still resulted in a video that didn't look right / raised more suspicious.
Of course the issue ultimately was that doing none of those things was suspicious too... and you have to hide the evidence that your plane was in fact fully functional ...
Turns out it isn't an easy thing to fake.