Although this is “satire”, their point is clear – the weapons that most people are trying to ban are not necessarily the most deadly weapons. The shotgun does far more damage than a 9mm handgun, a 5.56 round (like in most AR-style rifles) or 7.62 round (like an AK-style rifle). Of course, the reason assault rifles are being looked at so closely is that they seem to be the weapon used in most of the well-publicized mass shootings.
To me, short of literally banning firearms (which is very unlikely to happen in the US), it makes the most sense to require stricter controls and requirements on gun ownership so that these weapons are not in the hands of unstable or untrained individuals.