Only cold damage increase freeze duration?

Do elemental damage increase freeze duration?

I know the formula is "60 milliseconds for every 1% of the target's maximum life (before party scaling) dealt by Cold damage".

So, for example, if I cast Arctic Breath, there can be Cold damage, Projectile damage, Spell damage, AoE damage, will it only count the Cold damage portion for freeze duration? Or some of them? Or all of them?

Another two example, Ice Shot's Bow damage and Frost Blades's melee damage.

Since the passive skills increase these damages, will they increase freeze duration?

Chill/freeze duration are based off the total cold damage the monster actually takes. Doesn't matter how that total is arrived at, it just uses the final number.