ZMK manages to report both battery levels (central and peripheral) to the host. Despite the default of Windows, MacOS and Linux only reporting the central battery state, there are tools available to show the level of all batteries, f.x. https://github.com/kot149/zmk-battery-center:
The battery level of the peripheral is reported in another BLE gatt attribute similar to the central battery.
It would be great if the UHK 80 also reported the level of both its batteries to the host.