Playstation Vue is in theory exactly what I want.
For about $30, it's as if I have a "real" cable provider, so I can use those credentials to log into all the different cable channel apps offered on iOS/Apple TV or via a web browser. Crucially, that's AMC and FX, because they have almost all my favorite shows these days, and almost none of them are available for streaming during the current season via Hulu/Amazon/Netflix. And I don't watch sports that often, but it is nice to have the ESPN login as well for the occasional college football game.
However, if you actually try to use the Playstation Vue service itself, get ready for headaches. At one point it streamed just fine from my PS4 and I could also use the PS Vue app on my iPad to stream from around my house too, so I could use it to actually tune in live or use its faux-DVR capabilities to "record" shows and skip commercials when watching later.
Then I replaced my router, and ever since, the Vue believes I'm now outside of my "home network" on both my PS4 and the iPad app. On the PS4, this means I get a warning message every time I launch it that it has detected a change in my network and maybe I'm not using it where I'm supposed to be. It still works once I dismiss that, but it does it every time, there's no way to tell it this is correct.
On the app, that means functionality is crippled as it goes into "roaming" mode (or something) when it thinks it's not on your home network, which means almost every channel and show is locked.
Some googling turns up lots of users who have had similar problems just because they don't have static IPs from the ISP. It sounds like PS Vue is incredibly aggressive and stupid about making sure you're not sharing it or accessing it remotely, with lots of users saying they've actually had the service cancelled by Sony just because their IP address has changed.
I haven't had that happen yet, but I'm a little paranoid it could, so I honestly use the PS Vue app on my PS4 even less than I normally would, afraid that maybe they'll eventually decide I'm cheating and cancel the service.
So if you want to pay $30 for a login to all the basic network and cable apps, Playstation Vue is great, but if you ever actually try to use the PS Vue service itself, look out.