Trap/Skeet shooting come close to those numbers for target speed.
No not at all -- plus the clay launchers put the targets so they are moving away from you in a fairly predicable pattern. To make it move in a realistic manner you would have a launcher inside 25m that launches it right at you - from any direction and altitude. I'm a pretty decent shooter and can 24-25/25 with my wife's Benelli M2 regularly - but that has a 22" barrel, I've tried it with a Cylinder Bore 14" and I'm sub 50%.
You aren't likely carrying a 28" Goose Gun for this task.
We'd be wise to spend some time training folks to do that as a tool in the toolbox. Defeating an air threat needs layers and the shotgun falls under "oh fuck that's close" in the final layer. Immediately dismissing it means you're just placing all your trust in someone else to defeat the threat for you and sometimes simpler is better.
Everyone I have spoke to who has been on the ground in Ukraine laughs at the shotgun idea.
There are more effective portable C-UAS methods than a shotgun. Frankly I think you have more luck with a large handheld fishing net than a shotgun against an attack drone, which I still hold is a click bait tool and nothing of any practical military application.
Hitting one dude (or vehicle) with a sub 10% success rate to land a 40mm type payload isn't going to break anything - yeah it sucks if you are the unlucky guy who gets smashed with it -- but RAM (Rockets, Artillery, and Mortars) are a way bigger threat to dismounted soldiers, than a FPV SUAS.
Militarily shotguns are useful for ballistic breaching - and that is about it, so a small 8-10" barrel with a 3+1 capacity.
LE I can accept LL or Slug for Anti-Vehicle in addition to breaching, albeit for both LL and AV work there are much better tools - so the very short stand alone breacher is the way to go for LE as well IMHO.