Two-handed required for non-attack Doombringer skills?

[Effigy]

I know the attack skills for Doombringer only work with 2-handed weapons, but I'm wondering if the other skills like Incinerating Blows, Eternal Suffering, and Devouring Flames have this requirement. I'm guessing these skills don't specifically check what weapon type was used for the attack, but I wonder if anyone can confirm. This is mainly of interest to Adventurers, since Doombringers would be using a 2-hander regardless.

[Trea]

I'll look at those three at least

• Incinerating Blows: Doesn't Require
• Eternal Suffering: Doesn't Require
• Devouring Flames: Doesn't Require

[Effigy]

Thanks for checking!