They ignored their potential customers
"nearly everyone I know who takes security seriously has one"
The problem is that we now know that the security advantage was just fictional. People believed that a manufacturer could somehow provide security by locking down everything. In reality we now know that manufacturers can simply be taught to put in back doors. And in many cases they will follow those orders.
Now that by itself wouldn't be much of a problem, if your architecture is designed in a way so you could run most components all by yourself with your own code. For example you have a wide range of mail servers to choose from, and you can even write your own mail server if you are inclined to do so. Mail is comparatively simple, even if you add IMAP.
Now for many years the Blackberry was the exact opposite. You had to run every e-mail through a Blackberry Backend server. Later they sent your e-mail passwords to their server.
http://www.heise.de/newsticker/meldung/BlackBerry-spaeht-Mail-Login-aus-1919718.html
http://frank.geekheim.de/?p=2379
So by now we know that Blackberry is in the same league, security wise, as all the other companies. They have lost that advantage. And Blackberry doesn't seem to be interested in security any more. If they were, they would release alternative firmware turning their devices into "dumb terminals" offering an open protocol (e.g. ssh/mosh/VNC) you can connect to whatever server you want without storing data locally. Having a hardware keyboard even enables you to enter passwords to unlock cryptographic keys. That would have been an actual chance for Blackberry, unfortunately they didn't take it.
So in the end, security minded people have turned to other systems, particularly Android as they can at least get non-vendor ROMs for some phones and they have at least some chance of weeding out a bit of the trash/backdoors.
People who just want to "access Exchange remotely" will probably look towards Windows Phone, as they can be made to believe that a Microsoft phone might interact nicely with a Microsoft server.