Using rechargeable lithium-ion batteries for AudioMoths and/or Swift's

Hi all,

I'm wondering if anyone has experience using rechargeable lithium-ion batteries for passive acoustic devices, specifically Audiomoths (AA batteries) and Cornell's Swift (D batteries) units.

1. Will the device even accept that kind of battery?

2. How long do they last compared to NiMH rechargeable or regular lithium ion batteries.

3. What brands would you recommend? It doesn't seem like any of the "common" brands (Duracell, Energizer, etc.) are producing these for consumer purposes. 

Thanks!