I think FH has an overly complex resupply situation that doesn't really add anything to the game-play experience.
First of all, I hardly ever run out of ammo...and if I ever do, I take someone else's kit. So its not really a big issue. Running out of AT grenades or bazooka missiles is the most common effect.
But so far I've noticed: Certain kits that have an ammo crate (seems buggy though), trucks and APCs wit ammo supplies and one or the other static box (unsure about that).
I really don't see any point in having 1 or 2 kits on the battlefield with ammo crates. No one has ever used them to any effect, in my experience.
Why not just add an ammo crate to the lieutenant kit, since is limited to one per map anyway and do away with those other kits.
As for other aspects resupply possibilities: I think the APCs and trucks should suffice for rearming infantry and armour. No need to make the situation unnecessarily complex.