Very true, OCU. "High powered" is just a media buzzword, really.
In fact, most AR-15's are chambered in either .223 or 5.56 - a caliber deemed too small for deer hunting in Virginia, but frequently used in military theaters.
I've never heard the term "high powered" used with a shotgun, actually. Shotguns come in a limited number of gauges (anywhere from 10 gauge to 67 gauge (AKA .410)), shell lengths (generally from 2.5" to 3.5"), and pellet sizes (generally slugs or pellets ranging from 000 buckshot to #12 shot). Shotguns have a variety of barrel lengths, but that has no relation to it being 'high powered' either (at least, it shouldn't).

What is the point of rules that are not enforced?