Sources for that? 2 inf div by air took an entire country? Are you talking about taking over from Vichy France? In which case infantry could be flow in very small numbers without heavy equipment, similar to flying in reinforcements, because they did not have to fight battles.
The game is fine as is with this: 105s + 150s would not fit into WW2 air transports except for the Giants which were another of Hitler's obsession with everything being bigger [but not better].
And while it was technically possible to air transport parts of inf divisions, that had to unfold over time which is again something that the game doesn't handle. Germany air transported 2 Nat Spanish divisions from Africa during the Spanish Civil War [I'm not sure what equipement or trucks or horses they had], but that took 2 months. How do you simulate a 1 or 2 month airborne operation to move one infantry division?
As for HQ, how difficult is it to create an Hq on the spot for airborne? If they hold a province, you can give them an HQ instantly. And HQ are not needed, they add something, something that paratroopers were trained to do without.
The 22nd air landing division was part of Germany's unique setup for airborne operations through Crete: but any unit like that, including Ringel's mountain division, relied upon the seizing of an intact airfield to land troops rather than using para or gliders to first take the airfield. Again something hard to simulate within the game. The game handles this right and no extra coding for refinements are needed.