Not knowing Zebra AA lights it may be possible the light is designed for alkaline (1.5v) and lithium ion usage (3.7v) and think that the higher voltage of the battery makes for it being sensed as an over discharged 14500 cell.
I know some Fenix lights don't like lithium primaries they won't operate low modes till the voltage drops under a certain level likely 1.6v under load. I did have a brush with some cheap batteries that came with a remote control that measured 1.6v when they were dead. I had never encountered such high voltage in dead batteries before lithium primaries came about so it took me a little sleuthing to figure out when batteries putting out 1.6v didn't work but those putting out 1.3v did.Anyone remember the ill-fated Battery Station Lithium "1.5V" AAs? They'd measure close to to 2.0V no-load, which would freak out some dual-mode drivers.
Can you find one that measures 1.6v and try it?batts measure 1.8 v
i only checked the higest.modeAre all modes dimmer? Or only H1?