Today it's all about spotting the enemy first and then the usual logistics of deploying as many weapons on the enemy as possible. An aircraft that can carry 4 missiles and runs out should head back so that it can sortie tomorrow again with a fresh load of missiles instead of starting a desperate dogfight. An expensive plane that can only carry 2 missiles but is guaranteed to return home is more valuable in a war than a cheap one that carries more missiles but gets shot down frequently.
Given that a plane, then, needs to be capable of carrying multiple pieces of ordnance (otherwise, it's pretty much just a guided missile), it's pretty much fundamentally going to have a higher mass than whatever missile you're launching at it.
There has not been an aerial dogfight in this millennia. The last ones that would really count happened over Bosnia in the 90s. I think a Rafale took down a 1960s era MIG-23 in the Libyan Civil war, but modern fighters are either too hard to hit or too expensive to risk.
Take the human body out, and the airframe is a (possibly, bus) missile.
Are those limits what they are because there wasn't any point in designing stronger airframes if the pilot was just going to black out under higher G forces?
If you take the vulnerable human body out of the equation I wonder if airframes strong enough to withstand that acceleration would actually be feasible.