I use it on different tvs. My ps4 is in my media room upstairs. I had the ps tv hooked up on the tv in our bedroom downstairs and used it quite a bit there. Wife finally pitched a fit about the noise the controller makes when I was playing destiny and she was trying to sleep, so had to move it to the tv in the living room. It went from a 32 inch tv to a 52 inch tv. On the 52 inch can definitely notice the downscale in graphics now, still looks fine, just a little fuzzy compared to normal.
In theory it should work at another house, I have just never tried it out yet.
Also, again, the remote play works better now than it did, so dont pay too close attention to reviews that are older. The latest FW on both ps4 and the vita improved it quite a bit.