Emails are nice, but again, as an in-game event, it's strange there isn't an equivalent in-game notification. We get notifications when our stuff sells on the marketboard - those are comparatively minor events compared with losing a multi-milllion gil cottage/house/mansion. Having to go looking for a timer is not the same as having a message pop-up saying I'm about to or have already lost my house.
(On a sidenote: I don't typically check my timers and had no idea there was a demolition timer until after the fact.)
