OK, this is getting kind of out-there.
One thing I see people saying is that BRT is like a speed boost. Similar? Maybe. But, it's not the same thing. If you pump an attack to 35 speed, Strife's Patronage, American Made, and Superior Witch, don't care. None of them can help against BRT in that situation. BRT doesn't add speed, it decreases the check.
It's just like Willful is not going to help you against Demonic Self-Sacrifice Strategem. DS-SS modifies the difficulty not a control.