Flame Touched aura mechanics

For pets and/or multiplayer companions, is the flat damage given by Flame Touched boosted by the caster’s %fire or the recipient’s? I’m thinking about trying a Necromancer/Demolitionist build using Flame Touched, but I haven’t found any clear answers on whether i need to be stacking my %fire or %pet damage to make the idea work as intended.

The flat fire is added to everybody and pets
However only %damage to pets boost this flat fire damage for pets.
For multiplayer purposes, it´s %fire damage that boosts it to your allies.