Re: Luddite here
There are a couple of things worth mentioning.
I was working for a company which had everything on citrix. I had my own laptop, but mostly it was a citrix client. A phone with a decent video-out capability could easily take that role and mean I can ditch a large lump of metal from my bag.
We are constrained quite a bit by battery power. Even a phone running as a smartphone can suck the battery down quickly if you have the screen brightness up and you're running a game. If we can add a power to my screen-docking, we can really open up the CPU.
Instant-on and quiet. I have a powerful PC desktop, but web and email are the most used functions. These are bad on a small screen with no keyboard and mouse, so just adding that would be worthwhile. A phone doesn't replace the PC, but it does mean I only need to turn the PC on when its really called for.
And the downside? I don't trust mobile OS's. I don't want them transitioning to my desktop, I'm going to need a new linux OS for this to be a thing.