They can not, ABG do not have animation for an airdrop. Fall are airdropped units not infiltration.
It's possible to add glaider landindg to them?
They hole commander is problematic.Currently best imo would be to remove the infiltration part, lower cost and CP and be done with it.
But it don't make the unit workable. They don't have anything, if compare them with other doctrinal elite infantry. They don't have synergy with commander abilities.
In fact, now ABG are just:
1. With ppsh castrated version of shocks
2. With dp-28 castrated version of obers
Just compare ABG with other elite infantry:
1. Obers - stocks, good scale, have WP nade and bundle nade, could palnt booby trap on points, in doctrine have access do IR STG and valley nades(IRC, maybe i'm wrong).
2. Falls - could set in ANY point of map, stealth, first strike bonus, faust, have WP nade and bundle nade, have synergy with Papa Faterland and ability of stuka raid.
3. Commandos - cheaper significant (320, but 3 men and already equiped) or cost little more (390 MP 5 man squad fully equiped with glaider, but glaider give you ability to set them in ANY point of map and also give you reinforcements); stealth, bundle nade, first strike bonus, smoke grenade. Could carry boosted brens.
4. USF paras - could be set in ANY point of map, could get reinforcements from radio net. You could take any team weapons and reinforce it by radio net. With thompsons - close range monsters, due tactical advance. Have very long range of grenades, could have boosted versions of zooks. With 2 lmg have suppresion fire. Good synergy with commander ability.