My understanding is that it's not really the disrto, but the software running on it that'd effect battery life and performance. Both Debian and Arch can come pretty bare bones on a blank install (Ubuntu and derivatives tend to come with a fair bit of stuff bundled out of the box).
I'd personally reccomend trying a Debian installation (I'd likely say use stable, but testing or sid are also options if you need quicker updates and don't care for flatpak/snap/appimage/distrobox). The installer plays nice with Windows, and you can skip installing a desktop during installation then CLI install a tiling window manager to really minimize 'bloat'.