I just read over your post again and it’s funny how with a different point of view other things stand out.
You said that US fighters to India does not synergize well with US Med Shuck plan. In some ways this is true. The fighters go to India and are not protecting US fleet in sea zone 15 or sea zone 13 on that round. That means 3 starting fighters out of circulation on this round.
However what US can do is round one build of carrier destroyer fighter transport infantry round one for 42 IPC.
UK positions Egypt forces in Trans Jordan round one US fighter from China lands there to support it. US waits in sea zone 11 for its build. Possibly moving starting destroyer and transports to sea zone 10 with 4 ground units moving north to east Canada for additional flexibility if that is safe from German ships in Atlantic.
Then round 2 US moves in to sea zone 13 with 2 destroyers cruiser carrier 2 fighters landing in Morocco. The carrier that went to sea zone 45 round one comes back around south America from there. It will arrive in sea zone 13 on round 4 filling that part of the escort chain at the same time as the Battleship and destroyer from the west coast arrives as well. It should be noted that if the PH carrier did not take this side route to sea zone 45 on round one and makes a bee line for sea zone 13 immediately through the canal it could arrive there on round 3 instead, but because of US needing to buy escorts, transports and ground to fill transports it doesn’t really have the resources to do all of that anyways. Other builds are higher priority and getting fighters to the center higher priority as well instead of having them idle around waiting for that carrier to arrive round 3. The one round detour does not take much away from that in terms of timing.
The US fighters in India have done their job of shoring up defense there vs J3 timing. This may cause Japan to not make the attack because it is unfavorable. Importantly this gives UK one more round to do another build round 4 and shore up its defense there. This may include UK fighters going to West Russia which can transition to India from there and take their place.
US fighters in India can be freed up from India round 3 to go to West Russia, possibly providing air support to attack on Kazakh along the way. Maybe they go to Caucus instead.
Then round 4 they can land on carrier in sea zone 15 and fighters from that carrier go to the carrier now arriving in sea zone 13.
It’s an option and how the transition lines up and actually does work together.
Those fighters may be needed in India or Russia still in which case US builds more fighters round 3 to land on the carrier reaching sea zone 13 round 4 instead. Depending on the board state and what the Allied needs are.
The focus here is to get US support to the center as quickly as possible and then once there to have the flexibility to shift them to where they are most needed afterwards in response to what Axis has done.
The key to all of this is getting units to where they can most help when they are needed. US and UK can do a form of fighter swapping between West Russia and India so that they are always present in the numbers required on Germanys turn, then transitioned to India as required on Japans turn.
UK fighters to India from WR and US fighters from India to WR. Somewhat doubling their defense capabilities by using the turn order against Axis in this way. While also making attacks of opportunity while transitioning.