there can be various file index services that run to allow faster searching of the system.
these typically run in a schedule, but in a new install they may run on the first boot.
after they run the first time, they will run occasionally on a schedule.
I am not sure if time shift does this or not, I never use that tool.
For mouse battery it may depend on the specific mouse and it’s drivers.
there are some enhanced mouse/keyboard utilities out such as that ‘libratbag’.
old school solution is the
devilspie2
utility. but that may not work on Wayland