Every "smart"phone I've ever owned, I've had a secure shell app. Virtually every time I use it, I realize I need some piece of information elsewhere on the device. So I go to the other app to get that information, the ssh connection drops, and I have to log in all over again, potentially repeating a lot of actions to get back to where I was.

Honestly, if either could promise me an SSH app that would just remain connected while I go do something else, I'd be sold.