Build idea: Elemental Equilibrium - Whispering Ice-Chaos-Fire storm

Hey, i have a build idea. and want to know if Elemental Equilibrium works as i think.

so my Idea was Using my Main Icestorm Skill from the Whispering Ice:


With a Gem to convert some cold dmg to Fire dmg.
and to convert some Fire Damage to Chaos damage.

So i have 3 Damage Types at the Same time. How does Elemental Equilibrium works now?

Also i have the Occultism Node for -15% chaos resistance on enemy. and 20% more dmg when cursed as an Combo with .

So do my idea work? Is it good?

I guess yes. Cause Enemy Are Chilled -> i get the Hypothermia Bonus, Enemys are Curse -> i get the Curse dmg bonus. Enemys are Burned i get a Damage over Time, and damage goes through Enemy Energy Shield. And it Scales Greatly with "Increase Spell damage + INT" Jewels.

The enemy will become resistant to both fire and ice, his lightning resist will be reduced. Chaos resist is not affected as chaos is not an element.