Using shotgun as drone defence in military operations is really last line of defence, with not so much chances to be effective.
Yes, there are a lot of videos from Ukraine, how solders are successfully shooting down drones even with AKs. In most cases, they are successful when engaging slow drones, hovering over trenches.
But modern FPV drones are so fast, that even the best skeet shooters would have problems firing more than one shot at them, before being hit.
Electronic counter measures can be successful, but only against radio-controlled models.
Models controlled by fibre optics cable are much more resistant to counter measures and they are causing havoc among solders and materiel on both sides in Ukraine war.
So, if I would be there, I would also carry some kind of last line shotgun defence, but in reality, it would more or less just give me some confidence, that I have something to relay on, without any real chance to defend myself from FPV suicide drone attack.
On the other side, if you have an annoying neighbour, who is spying on your wife at your garden, then yes, this will for sure work, but your local police will probably disagree about your choice of neighbour-to-neighbour relations.