Negative for the PI Zero, but I just got a 2B so I can try that, but I'd wager not on a flat B either.  This link is all about how 3.0 doesn't work, and some complain 2.0 doesn't work properly either (but it works fine for our interests):
https://www.raspberrypi.org/forums/viewtopic.php?t=74695&p=535407. 

For a Zero you have to cascade the 3.0 through a 2.0 to the PI, so the PI only sees the 2 and the 2 downgrades the capability of the 3 from 3 speeds to 2 speeds - so while 3 gives you the ma you need to power the sticks up without Y's, the 2 makes it so the PI can talk to the sticks.  I don't think that the USB bandwidth downgrade makes much difference as the data is pretty small all in all - you're just looking for the power.

Oh, and the Anker 70w won't work - Look for the Superbpag if possible.  Anker by itself, through a powered 2.0, or through an unpowered 2.0 just doesn't work.  Anker is aware of it and says there's no resolution, so I had to get a refund.

Superbpag here (they were low on stock before but seem to be full up again)
http://www.amazon.com/Superbpag-Portable-Charger-Transfer-Samsung/dp/B013OK10YM/ref=sr_1_2?ie=UTF8&qid=1452598444&sr=8-2&keywords=superbpag