Is it possible to list running processes that are not signed or notarized? This would be interesting in general but also helpful in diagnosing the frequent appearance of MacOS error: -67062 in the Console.
Edit: in response to comments, the question is more specifically about trying to find out which processes are running that are NOT signed (or notarized).
Finding all running processes is trivial, but finding out whether their signed status seems to be tricky.
You will need to write a short script to gather this information.
Obtaining a list of processes is possible with ps and code signatures of processes can be checked with codesign.
codesign
The codesign command can be passed process identifiers, pid. To verify the signatures of two running processes call:
/usr/bin/codesign -d -vvvv 279 422

The flags are:

-d for validation
-vvvv to increased verbosity
279 the first process identifier to check
422 the second process identifier to check