Question on skills granted by equipment

Hi guys,

can skills granted by equipment benefit from skilltree passives ?
I wondered, because of the fact that some items grant skills which are called exactly like their “true” skilltree skill.

For example:

Skill (Occultist skilltree): “Bloody Pox”
Itemskill (Abyssal Mask): “Bloody Pox”

This item even grants points on the “Bloody Pox” skill, but triggers the same skill on hit with the same effect.
Now lets say i spend all points on the passives “Wasting” and “Black Death”.

Is there a chance that the item granted skill benefits from the passives ?

Reference item:

Procs and mastery skills function independently of one another. Adding skill points to bloody pox’s modifiers will not affect the proc equivalent.

Thanks Nine!

Is there any kind of source or game tests you made for your statement?
I can’t find anything on the official sites or wiki pages.

Appreciate your help.