Not every air to air engagement will result in a dogfight. And I don't think it is a matter of bombing being viewed as less important, but because of the fighters were serving more as air support and protection against any foreign flying threats.
Fighters also don't necessarily have to attack specifically other fighters as well. It was given the main role of intercept to defend the fleet for just that purpose, and as things were seen to be needed such as ground attack, modifications were made. All of this is IMHO.