Eventually, certainly, but you can put it off for a while without much trouble.
You can get 20 round drum magazines for 12 gauge shotguns, and keep hot-swapping 'em until your barrel overheats.
> Phalanx_CIWS
But that's 1980 technology. I bet a current GPU could outcompute it by orders of magnitude.
Range is definitely an issue with shotguns. On the other hand, you're dealing with low-speed drones, not enemy missiles.
The principles are fine (well, not sure camera is the right only sensor but aside). The actual engineering of a working system you can use in real life is complicated and that's what many are working on.
Random similar discussion: https://forums.spacebattles.com/threads/anti-drone-weapon-sh...
I just came back from a walk and someone was flying a drone. Those things are fast, small, highly maneuverable.
Likewise, the Abrams tanks are cold war era tanks, but they are continuously upgraded that a modern Abrams tank isn't really a 1980 tank. Modernization is likely to remove some weight and make Abrams more survivable against drones, in response to the Russo-Ukrainian war;