MaxMind release a new version of the database once a month. I don't think it is Elastic's job to keep the GeoLite2-City.mmdb on my install up to date for me. YMMV.
It might be worth documenting the fact that the database is a snapshot from around the time the plugin version was released.
Given the terrible quality of most free geolocation data I'm not terribly concerned about it being a little stale. You can tell from the frequency with which the location is the former corporate HQ of a cable company that has been rolled up that a lot of the time it is just whois data warmed over.