Waterfall_13
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True luck doesn't provide a 2x damage multiplier.
The luck coefficient for a hero, if you invest in it, is 2.25 times the elven luck. Units have a minimum of 3 luck points (since we invested in it), and more realistically, 4-5 (it's easy to add artifacts).
With 3 luck, the expected damage without true luck is 1.375. With it, it's 2.25. An increase of 1.63 times.
With 5 luck, the increase is only about 1.38 times.
I don't quite understand what you're talking about, what coefficients are you referring to?
Luck works on the principle of 1 luck point = 10% chance of a successful hit. The maximum is limited to 5 luck points, meaning the chance cannot be more than 50% in the standard mode, so even if you have 6-7 luck, the chance will be 50%.
The standard damage from luck is x2 (I forgot about elven luck, which adds 0.25 to elves), so an elf with True Luck deals x2.25 damage when luck triggers, and luck always triggers (except when attacking a dwarf with the center perk).
True Luck turns all attacks into 100% successful hits. That is, you always attack with 2.25x damage.
Here, I'm leaving aside the racial characteristics of elves (they can increase damage even more against sworn enemies).