Trc4 I am not sure whether that would be possible through a custom Flarum extension. I would assume that the database prompt page is hard-coded into Flarum, however a flag could be set at the webserver level to see if a forum had its extensions updated and didn't have its database migrated yet (something I thought about earlier). However, I can't implement this right now due to lack of spare time. If everything goes well with my exams, I will definitely have a look at making this more user-friendly as soon as possible though, as I understand that the userbases of forums hosted by FreeFlarum grow every day, and such ideas will have to be implemented sooner or later.
TichySlav I believe that no Flarum extension currently has this functionality, but I think I vaguely remember that something like this was brought up as an idea for future Flarum/extension releases? If you want, you can check the discussion(s) of the respective extension(s) and contribute with your ideas, as FreeFlarum (as a hosting provider) has no control over making such personalized displays possible at the moment.