Think of it this way, you can swim any jig you want. Many swim round head jigs, even some football jigs. The modern day swim jig came about to swim through grass, weeds etc and thus the pointed heads. Concept is that the pointed heads will move through trash like pads, snot grass, etc much easier.
Hook, your preference. Some prefer EWG, some round bend. I use EWG for the swim baits I put behind a Poison Tail when swimming in the shallows (Spring and early Summer). I use big round bend hooks on 3/4 and 1 ounce Poisons to pull the 5 and 6 inch swim baits in the deep holes I fish.
I recommend you not over think it and look at it as a technique and apply the jig head style to fit you style and the terrain you are fishing.