What are you talking about? I use them all the time to type out a url I found on one machine for use on another machine or for sharing with people.
There are worse things that could happen than shutting down too. Someone with control of an old shortener domain could set up spoof versions of the site that a link used to forward to and use it to harvest passwords or get people to install malware.
Ok, maybe you mean mobile only: i have a wifi only android phone that I don't use email on, none of those options work.