Wildfire being affected by teammates would need a hardcap.
Otherwise you would have synergy with high skillspeed job and anti synergy with DRG (The irony).
Then, what about spells? You would have to be careful with RDM and PLD magic rotation would not affect Wildfire.
DRK AoE wouldn't trigger the effects.

And if you want to make it so the Queen affect Wildfire... Don't.
I can picture thousands of nightmare scenario where the Queen don't punch the same target or where the boot-up/animation/jankyness of the queen will miss 2 or 3 Weaponskills.