About that... In Mids with Arcanatime on, and Max damage selected (meaning all DoT ticks go off:)
GFS is at the top.
With Average Damage selected, it falls to #3
And with Extra Damage Ignored, GFS is STILL number 3:
May not be true for other ATs as I didn't check, but for a brute? Yea, I'd be attempting to go cranked recharge and shooting for the Incinerate, Cremate, GFS, repeat attack chain.
Disclaimer: Mids numbers may or may not be accurate.