Based on your comments on this thread:
https://www.alternatehistory.com/discussion/showthread.php?t=295389
I assume that you were thinking along the same lines for this one.
I think its pretty hard to say with certainty that the West would be able to achieve air superiority with the USSR defeated by 1943 (which IMHO is impossible with the West in the war). But hypothetically let's say it happens thanks to Stalin evacuating Moscow as supposedly he nearly did IOTL, which results in Moscow falling into chaos as order breaks down with his departure (according to Glantz in a lecture I posted in a previous thread this was probable if Stalin decided to 'bug out' and evacuate). This badly disrupts the Soviet war effort and sometime tries, perhaps succeeds in toppling Stalin, which gives the Germans the ability to fight a badly divided enemy that falls into Civil War.
So by 1943 the Soviets are effectively neutralized and the majority of the LW is brought back West, as they aren't really needed in the East. By 1943 the bulk of the LW as still in the East, but this changed in the build up to Kursk. Still even by June 1943 there was about 40% of the LW in the East still, mostly bombers, but not totally. This extra fighter strength will make a difference in 1943, but not that much because the LW IOTL was able to take on the USAAF by day without issue until early 1944 and Big Week really ground them down. However, without the ground losses of 1942 and 1943 (Stalingrad, Kursk, and all the followup Soviet offensives) then the LW has as much resources as it needs to prosecute the air war. Fuel, lubricants, manpower (the LW here won't create its Field Divisions, which wasted hundreds of thousands of trained ground crews and pilots in ground combat positions without adequate training) and production resources are going to get thrown at the LW. IOTL they were seriously drained by the increase in air combat in the West and the Soviet advances, which pulled them in multiple directions, never letting them catch a breath.
Here though the LW is able to have safe training areas in the East and will not have to spend fuel, lives, and various other resources keeping their eastern contingent going; instead they can focus those resources on building up their fighter strength, especially as bombers become less important. This changes the dynamics in 1944, as the LW will be stronger in 1943 and will spend much more resources building up their fighter strength, rather than being bled to death in the East and West simultaneously. Especially if the Stalingrad bloodletting is butterflied away (it wouldn't hurt if the Demyansk one was too) is going to help save important training resources, as many of the pilots for the airlift were drawn from flight training schools to supply the city and were then lost in the effort. Instead here they survive and with the fuel saved from the fighting in the East they can train the next generation of pilots adequately instead of the 'sink or swim' approach after very basic flight training IOTL.
I'm not trying to say that the LW would be on the offensive, they most certainly would be reacting to Allied moves, rather than on the attack. But having the strength of TTL's LW would contest the air in 1944 much more than IOTL, which would prevent the problems to the economy you cited in the other thread I linked above. The oil campaign wouldn't be as successful, nor the infrastructure one. They could certainly go after those targets, but would be facing a far less attritted foe and would suffer accordingly. Of course in time the Allies would win the attrition war, but it wouldn't be in 1944 or perhaps 1945.
As someone else pointed out, without the war in the East on going, then a Cross Channel invasion becomes far less likely and less able to succeed with an unengaged bulk of the Heer waiting in France and the Lowlands (not to mention in Italy). When the V-weapons come online they will be a distraction of allied airpower away from bombing Germany, which they were IOTL, as Allied forces tried to knock them out from the air (they didn't succeed) and diverted their bombing resources to French infrastructure and launch sites before the OTL invasion. Here without the invasion or a less successful one, the Axis is going to be able to keep the Allied air forces tied to trying to knock out the weapon sites, rather than focusing full power on tackling the German economy. Coupled with less damage to the economy overall due to a stronger LW in 1944 the German economy is not going to be the shambles it was IOTL after Big Week. This gives greater breathing room to get the Me262 into service as well as more air defenses, which, thanks to no Eastern Front, means that extra resources can be plowed into Air Defense research and more FLAK weapons.
I think a 1945 invasion is the earliest that is possible ITTL and isn't guaranteed to succeed; in the long run the Allies will win, but its a matter of how long and how well each side plays its cards. It may still be too risky to use the A-bomb over Europe until 1946 to prevent the bomber carrying to from being shot down and having it captured, plus there would be the risk of retaliation from chemical weapons if the LW gets it jet bombers into service by 1945.