Of course, the outcome of the war would not have been changed. The war was lost perhaps, when it was started. At least it was lost in the winter of '42, in Russia.
To use a fighter as a fighter-bomber when the strength of the fighter arm is inadequate to achieve air superiority is putting the cart before the horse.
During the Battle of Britain the question "fighter or fighter-bomber?" had been decided once and for all: The fighter can only be used as a bomb carrier with lasting effect when sufficient air superiority has been won.
Superior technical achievements - used correctly both strategically and tactically - can beat any quantity numerically many times stronger yet technically inferior.
I would like to mention that I have flown the 262 first in May ‘43. At this time, the aircraft was completely secret. I first knew of the existence of this aircraft only early in ‘42 - even in my position. This aircraft didn’t have any priority in design or production.
If we would have had the 262 at our disposal - even with all the delays - if we could have had in '44, ah, let's say three hundred operational, that day we could have stopped the American daytime bombing offensive, that's for sure.
Never abandon the possibility of attack. Attack even from a position of inferiority, to disrupt the enemy's plans. This often results in improving one's own position.