(Didn't know possible augments on head) Those augments make head +1 a fantastic piece to use during Berserk up, and depending on the rest of the gear, might have a place with Berserk down.
I cannot imagine what you proposed is possibly better than Thaumas Hat/Tenryu Tekko+1 instead (assuming accuracy is capped).
Following the thread, I didn't propose anything better than it. Pre-augments, Athos's Chapeau / AF3+2 head was better for Berserk up; the augments on Tenryu +1 pieces open several TP sets up; however, most people assume those pieces to be out of reach. My answer to his Tenryu +1 head question was specific, because I assumed he won head +1 from the contest.
The question of Tenryu Somen +1 vs. Athos's Chapeau / AF3+2 during Berserk up, Tenryu Somen with a haste augment of 5 or more would be better. G. Mask is better for Berserk down (assuming otherwise standard TP sets)