Weapon cooldown, would you make use of it?

Since it is based on AP. A constant barrage is not possible. Unless... Both sides have 12 AP to spend instead of 6 AP per round.

The list goes like this, but not 2 rounds, just 1:
33% - 50%
67% -100%
100% - 150%
133% - 200%
167% - 250%
200% - 300%
233%
267%
300%
333%
367%
400%

Good question.

I mentioned the conclusion.

But did not provide numbers.
Here is the 2 round list again. Only of infantry against infantry (The tank is literally the same, but even more health). This time both sides have 4 times more health. And remember, 100% means a kill. And a kill means less damage in the next round, from that side.

8.33% - 12.5%
16.7% - 25.0%
25.0% - 37.5%
33.3%
41.7%
50.0%
58.3% - 50.0%
66.7% - 62.5%
75.0% - 75.0%
83.3%
91.7%
100.%

With 12 AP, thus only 1 round:
8.33% - 12.5%
16.7% - 25.0%
25.0% - 37.5%
33.3% - 50.0%
41.7% - 62.5%
50.0% - 75.0%
58.3%
66.7%
75.0%
83.3%
91.7%
100.%

For destroying a tank with 75 health (light armor), 25 rifle men are to be used:
The normal need 3 turns. The "slow" need only 2 turns.

With only 5 rifle men. Things change. And the example is 6 AP (The basic game has 7) again:
The normal need 15 turns, which is 2.50 rounds.
The "slow" need 10 turns, but seeing as how you only have 3 turns each round, we end up with 3.33 rounds.

Seeing how the RPS effects work. After 1 round and 25 riflemen. The normal weapon will be able to kill 2 tanks in 1 round (given if all soldiers survive). The "slow" weapon is certainly to kill only 1.5 tanks.

***

If you wonder how a battle progresses with 2 big battalions. One side, normal weapons. The other side the "slow" weapons. 6 AP/round. Excluding sum effect of activity:

36 vs 36 slow
18 vs 24 slow
_6 vs 18 slow
XX vs 16 slow

I see. And the major diversity is only between the first (normal) and second tier (slow) of cooldown.
Paying 2 AP, only gaining 50% more damage.

I understand that the numbers are hard to understand.

So I push this one forward. Re-explaining the results:

36 vs 36 slow
18 vs 24 slow
_6 vs 18 slow
XX vs 16 slow

What you see here is a start of the battle. We have 36 soldiers with normal weapons on the left.
On the right, we have 36 soldiers with the "slower" weapon.
Because of the kills that an army like this can make. Both sides loose units. (The resolution is simultaneously).

The normal side can kill 33%, equal to their number of soldiers.
The "slow" side can kill 50%, equal to their number of soldiers.

The result is that 18 normal and 24 slow remain.
Due to the mechanism of AP and such. The slow can still shoot this round.
And they are outnumbering the normal.
33% of 18 is 6.
50% of 24 is 12.
The slow even kill twice the amount now, than the normal.

18-12=6
24-6=18

Sure, the normal can shoot once more, according to the rules. But they would be killing only 2 more soldiers on the "slow" side. Which is reloading as we speak.
6 vs 16
And after this, 50% of 16 is 8. This is overkill now.
The end result is that the normal are wiped out.
The "slow" have 14 or 16 soldiers standing, depending on the rules.
Even 14 is a lot for a battle, where the only difference is that the weapon fires twice as slow, but 50% more damage.

***

The battle where the slow is not tier 2, but slowest tier 7 instead, gives even weirder results.

We begin with 36 normal vs 36 slowest.
Tier 7, does 77.8% damage. Which results in 28 kills!!
After one turn, we are left with:
8 normal vs 24 slowest.
Now, according to the rules. This small squad of 8 normal, may shoot 2 more times. And if we discard those rules. This squad actually may shoot 6 times.

Let's assume 6 times, since that one is strategical.
They may kill 16 soldiers that way. And the slowest remains with 8 as well.

8 normal vs 8 slowest.
The result in round 2 at turn 1 is:
2 normal vs 6 slowest.
And at turn 7 is:
2 normal vs 2 slowest.

I don't go into the detail of health and cover. But the numbers are close enough, that the randomness makes it almost a 50-50% chance here.

If we where to apply the "sum" rule. The slowest obviously win.
Even if we apply the bonus rule to the losing party. The slowest is still going to win.

***

The weakness of the slower and slowest weapons. Only come visible, if they are unable to kill. Thus the opponents can return fire.

I think that Snipers and such. Would benefit a lot of being able to fire slower. After all, you can gain +50% damage by paying only 1 more AP. And the decision is really only based on the fact. That you want to kill your opponent, before they return fire.

Weapons that charge their energy. Take multiple turns. During this time, the target needs to remain within range and vision.
This way, I can create super weapons.
They cost 1 AP every turn. And it will be the only weapon charging.
Re-actions can be used to do other stuff with other squads.
Once the last AP is paid, the weapon fires.

The cost of the weapon is divided by the AP cost.

The best about this is that cool down and charging can be combined. The cheapest and most practical example has 4 charging rounds and 3 activation. It costs 1/9th.

Why a charging weapon instead of pea-shooters?
7 AP allows for one squad to fire 3 times a round. That is 3/7th of effectivness.
The charging weapon of tier 7, will be 7/7th effective.

Of course, having 7 squads of pea-shooters is a better solution. But they have to be in range as well. And they cost 7 times more to gather.

Super weapons that target a structure over time are the best usage for this.
Also a suicide unit that charges, can do a lot more damage at once.

A nuke could be a suicide super weapon. Having 21 times more damage than a normal equivalent. And less AP (only 7 instead of 15 due to sum rules)