Does unholy might from lich add damage to infernal legion damage?

Does unholy might from lich add damage to infernal legion?

if it does, it would show in tooltip

well we cant see the damage on infernal legion at least dont show up for me and also unholy might says all type of damage or all damage anymod that play game can confirm?. or someone that did some try thx

also damage over time have a duration right? this not

thx seaman still confusing for me whith those wordingthat '' all damage '' so if it doesnt benefit from any of those damage as extra is there anythink that can boost them? ( burn = ignite no ? so damaging aliment work?)