Question about item skill modifiers

Greetings all! Quick question. Is it correct that item skill modifiers ONLY benefit from weapon % damage if (a) the item skill modifier explicitly says it modifies weapon damage or (b) the item skill modifier is to a skill that does not do any damage itsel such as blood of dreeg or solaels witchfire?

For example, take the mythical viperfang grips. https://www.grimtools.com/db/items/9116 The modifier to aegis of menhir would NOT benefit from maxing out the aegis skill to get more weapon % damage, but the modifier to blood of dreeg would benefit from having higher weapon % damage on the skill. Is that right?

Thanks! Looking forward to the new MIs in the next patch! Has anyone heard of any cool stuff that is included? :sunglasses:

^That’s correct.

Although in the case of B it’s more because it’s a global aura.

Thanks! You know your stuff! :face_with_monocle: