Ace forces vs supply

As I have heard, supply is better in conquests and ace forces better in campaigns. Let's compare these 2 skills. Regarding conquests, that's clear. Good gen is likely to make enough damage to reach level 6 or at leas he will stay alive enough long to compensate hps, which he could get from raising levels with ace forces.

Now regarding campaigns, the situation is following, comparing lvl 4 ace forces and supply:

Level Damage with af Damage without hp bonus
2 200 112 10
3 500 278 20
4 940 523 30
5 1540 856 40
6 2340 1300 50

So result is the following:

0-111 damage: supply wins, af no effect
112-199: af wins in gen was killed in 2 turns after first hp loss (10 hp bonus takes 2 turns to gain from supply)
200-277: supply wins, af only provide level faster
278-499: af wins if gen was killed in 3 turns (20 extra hp)
500-522: supply wins, af has only provide level faster
523-855: af wins if gen was killed in 4 turns (30 extra hp)
856-939: af wins if gen was killed in 8 turns (70 extra hp)
940-1299: af wins if gen was killed in 5 turns (40 extra hp)
1300-1539: af wins if gen was killed in 12 turns (90 extra hp)
1540-2339: af wins if gen was killed in 7 turns (50 extra hp)
2340+: supply wins, af only provide level faster

Not sure about aliens (haven't played), but at least in axis/allies and nato/wto only when gen makes 856-939  and 1300-1539 damage af can be better. And even such situation will be very rare, because both intervals are quite short and also some af bonuses can be lost because  gen have full hp  when he gains level (for example, 2 super tank shots and you have level 2, if haven't received damage, 10 hp bonus is lost), which makes required time to live even less.

Only in challenges, where you have few turns ace forces can be better in most cases.

IMHO overall ace forces are better only for any weak gen, which gets killed very fast.