I’ve never heard of “zen” or “cachyos” -seems to be some distro-specific optimization- and my computer doesn’t have a battery apart from the CR3232 for the RTC. I’m not quite sure what you mean with “battery life” - some policy for charging and discharging to enhance you battery’s overall durability or power saving and frequency throttling for longer time between recharges, but both are happening mostly in userspace.