A normal user application, i.e. firefox, should not have access /var/log/messages. The zeitgeist db can be queried by any application running with the users privilege.
Although to be fair the fedora 22 installation I'm running allows me read the logs launching journalctl as a user, so there's that.
I don't think zeitgeist has much to do with the Windows behaviour (or with the scopes behaviour). It's just a potential security risk, albeit a minor one.