I like it, but I'm no expert and I'm not convinced. Unless the shotgun is recoilless (knowing what the recoil of a 12 gauge is like), I can see no discernable effect on the flight pattern of the drone. Equally, there is no evident muzzle blast, unless I completely missed it in the video. In my view, either the drone has amazing power/weight/thrust ratios in order to counter the recoil or it's not real.
Happy to be proved wrong as the concept is great, or it's an April fool.