How about inlocuding the Luftwaffe field officer as well? It would be different from the one found in the Theater of War missions, removing panzerfaust but gaining the ability to call in medical supplies, Fragmentation bombing replaced with Incendiary bombing (these would free up the two required commander slots to include the Officer and Falls), Recon replaced with Smoke bombs and Stuka Close Air Support replaced with Concentrated fire (the aura ability found on Arty officers).
As for the Falls, they would deploy with rifles and can be upgraded with Stormtrooper Mp40s for free and Fg42s (on top of rifles or smgs) for like 60 munis. This upgrade system would represent the equipment problems Falls had at Crete.
I like this idea. Many of the strafe could be tied to the officer rather than off map which could also mean they could be buffed as they are not global but instead localized, meaning they could come in quicker. More active play, less annoyingly OP or UP depending on distance from edge of map.
With Soviet paras having a vet strafe too I think it could open up great play with precedent