I only own one AW IMR 2000mah, so my testing hasn't been as thorough as I would like (the rest of my batteries are Efest).
The issue I was experiencing was mostly my own doing. I changed the battery low warning settings on the device from the factory default to 3.5v. When I was vaping with the AW, I was experiencing a good amount of voltage drop that was then triggering the low battery warning. This could simply be because the battery is on its last legs, or it could be that there are some conductivity issues specific to the AWs, but I can't say for sure.
I did change my warning settings back down to 3v, and it hasn't been an issue since however. With the Efests though, I'm easily getting about 1.5 days vape time (where I would typically get just under 1 day on my Provari).