A question occurs to me - one that is unlikely to be answered by those who know - Does an F-22 have an auto-target for the gun?
That is, can the pilot pick a target on the radar, have the computer analyze the ballistics, and then the pilot hits the go-button and goes hand's off for the aircraft to let the plane take over and fire the shot? No need to "walk in" the rounds on an airborne target.
I've seen similar systems for rifles where the operator makes an initial target point selection, then uses cursor controls to fine tune the aiming point, and finally pulls the trigger. However the gun doesn't fire until the sight system detects the gun is correctly aimed. The gun bobs about as the user breaths and their heart beats so the user just needs to ensure on some sweep that the alignment, even momentary, occurs.