The problems you say, connection/power downtime are the biggest ones. And they're frustrating, but not near as frustrating as things you paid for going missing, forever.
My point though is, if we can get workstations out of the box ready, we can get home servers out of the box ready. The software already exists, the hardware already exists. The problem is not that people don't want it, that they're lazy, that the tools don't exist, the problem is that mobile devices are deliberately built to herd people to these services. Once they're hooked they're hooked. They're fundamentally disempowering.