Circle Hooks are mandated for New Jersey's Hybrid Stipers. Additionally the hooks must be non-offset as well. This gives the greatest chance of a side mouth hookup. Since switching to this style I've not had a fish swallow a hook nor get a hook stuck in the gills or esophagus (or whatever it is called).
On the other hand I still sometimes use 3/0 offset baitholder hooks. They're in some cases very harmful to fish...hard to remove, they hook where you don't want them to.
I've seen a great difference on Bass and especially on Channel Cats.
Not sure how they would work on Pike, Muskie and Pickerel. I almost feel like they would pull right out figuring the way their jaws are built.