It's a punishment for anyone who doesn't leave the region on a regular basis. Which includes people who only log in occasionally. Therefore this is a punishment for people who only log in occasionally. Whether you intend it that way or not, that's what you've done.
Its a punishment if they log in occasionally and don't do anything. If they log in occasionally and do something they get no penalty.
Actually scrap all of this, why not make determining inactivity based on doing any action what so ever rather then just log ins?
