No, if they had mass-produced it two years earlier ... in 1942 ... it would have had a chiling effect on the daylight bomber streams. While it could not out-turn or turn with the escorts, it COULD attack the bombers ... which are, after all, the things that destroy things. Being 100 mph faster than the pistion fighters at full throttle, it could attack bombers and escape, assuming they had more than about 100 of them in service at the same time, with GOOD pilots in them.
I don't think Germany could have mass-produced the Me-262 two years earlier than they did due to the engine issues, and the German pilot training program was never very good as far as throughput goes. It was ECELLENT for training great pilots, especially early-on, but did not have the capability to produce pilots in sufficient quantity to make replacements of pilots killed with pilots with good basic skills a reality.
Not really competing with the piston escorts doesn't mean ineffective entirely. It just means that fighter-versus-fighter battles would have been rare compared with German piston fighters. The armament of the Me-262 would do damage to ANY aircraft of the WWII era ... assuming a hit or hits.
I think this what Hitler had in mind ... and never quite got. An "evil genius" is still a genius, and he almost did it. Some technical development time reduction would have changed a LOT of things and dragged the war on longer.
I don't think the German people really wanted it to last any longer. Another year would have possibly seen mass starvation of innocent Germans, whose only crime was being caught in Germany when war was declared on the rest of the world.
I think the war might have gone on a year or more longer had the Luftwaffe acquired the He-100D in some numbers instead of just the Bf 109 and Fw 190, but that is another thread ...
Momentus things can turn on small changes ... and often have. We know what happened, but that doesn't mean things might not have happened differently given a few changes. That's the appeal of "what-ifs," and there are no wrong answers in a what-if.
The Allies broke the Japanese code and got a German Enigma machine with code books from a U-boat. What might have happened if only neither of these things alone had happened? Who can say? But battles would NOT have gone the same without the information acquired from these two things alone.