A big part of the confusion is that Trap and Skeet have very little to do with actual hunting. Standing in one spot and shooting a lot at small, decelerating targets is very different than walking many miles and shooting only once or twice at rapidly departing (and accelerating!) creatures than can alter their trajectory on a whim. There are components that overlap, but for the most part, they don't. The guns that are good for Trap and Skeet are not necessarily good for hunting. The reverse can also be true. Game guns are probably not very good target guns. In order to do both, some compromise has to be made, which tends to limit the gun for both activities. Figure out what is most important to you and focus there first. If later, you wish to try the other, find the best tool for that job as well.