Owning my computer, as opposed to paying for it to be controlled by Our Benevolent Overlords.
Hence "run Debian on it". The whole reason to run a Linux distribution is that the maintainers do most the sysadmin work for you, and Debian maintainers are among the most skilled sysadmins you can find.
You have to keep your filesystems from being full, but apart from that things will Just Work as long as you stay within the Debian tooling.
Easier said than done, Chromebooks aren't "computers" in the sense that you could easily or natively install Windows/Linux.
ChromeBooks run ChromeOS and often don't even have a BIOS, thus to shoehorn a different OS requires installing SeaBIOS when it isn't present.
They're more like an appliance, though GalliumOS[0] works on (most?) x86 Chromebooks.