I'm not saying you're wrong, but: has anyone in Ukraine actually tried a shotgun?
I generally try to avoid watching anything that'll scar my psyche, but, as far as I'm aware soldiers in the field don't usually carry shotguns, but rifles, in the anticipation of dealing with enemies wearing body armor/at some distance. And hitting a moving drone with a rifle, yes absolutely that'd be a bitch -- one projectile is not enough, especially for an erratic moving target.
Police (and I'm assuming ICE as well), generally dealing with people not equipped with body armor, tend to keep shotguns handy for a multitude of reasons (breaching doors, not overpenetrating through walls, etc), and skeet shooting is already a thing (though admittedly it would still be harder if the drone was moving erratically).
All this is to say: I don't know anything for a fact, because I've tried to avoid watching anything that'll scar me, but has anyone in Ukraine on either side had access to a shotgun or two before getting turned into gibs? because I can absolutely believe that soldiers with rifles would fail to shoot a drone, but I wouldn't be so quick to discount a couple people with shotguns unless that's already a solution the Russians tried before the cope cages. Especially in the context of just filming them, your drone probably isn't moving very fast or flying very high if you're trying to get a good shot.
fair enough, goes to show the gaps in my knowledge -- but after seeing one guy desperately trying to crawl away with his legs blown off before being blown up by a second drone, I decided that was all the Ukraine footage I needed to see.