Ring of Frost does not change Extermiantors Main Weapon damage type

[Coyote's Own]

I've equiped the Ring of Frost on the Exterminator, but their flamethrow still does fire damage can causes the burn status.

[Ulyaoth]

Hi,

the Burn Chance from Exterminator's Main Weapon is not bound to the Damage Type and separated.
You can equip Ring of Frost/Thunder and apply all 3 DoTs at once.

Cheers!