You can also disable it in the sudoers file.
FWIW, shells have a (configurable) history file. I'm not sure how it compares to sudo's logging though. I also personally perform little day to day admin tasks (I don't have as much time nor interest to toy around as I used to, and my current setup has been sufficient for about a decade).
> Nothing worse than ansible with its “sudo /tmp/whatever.sh” which hides what it’s doing.
That's a nightmare indeed; for sensitive and complex-enough tasks requiring a script, those scripts should at least be equipped with something as crude as a ``log() { printf ... | tail $logfile`` }.