While mobile alerts are great, I wish there was a way to (voluntarily) get those official warnings via other means like (landline) phone call, SMS, or email - in cases where you may not have your phone on you or if there is no service.
Mobile alerts are the most recent addition in the US; they are also carried by radio and TV broadcast, Cable TV, and a variety of other mechanisms. But not POTS,SMS, or email.
Definitely had my fair scare of shares when visiting Tokyo.
i.e. it'd be useless.