Then I don't know, something is wrong. Damage gets offered in the first 1-3 rounds (if lucky 2 times) and then never. I went in some battles until turn 200 and never got offered damage. 4/52 chances, never in 200 turns.

But attack I get offered every 4-5 rounds, while attack is completely useless after it reaches the cap. Attack DOES NOT increase the damage after a certain value.

So battles are long without damage offer. You cheat :D