With this definition unless you write your own database system, everything is managed. That makes it pretty useless to qualify anything as managed.
The Raspberry Pi is managed by you, as opposed to managed by a different company / different people so you can focus on your business problem.
If you don't believe that this counts as "managed," then for all your words at the end, you believe at the end of the day that making a solution more complex so that failures are expected and humans are required is superior to doing a simple and all-in-code thing. For all that you claim to not like operations, you think that a system requiring operational work makes it better. You are living the philosophy of the sysadmins who run everything out of .bash_history and Perl in their homedir and think "infrastructure as code" is a fad.