JimmyH: No, it doesn't. It doesn't even come close.
Good streamers connect to the TV over HDMI.
Recording this (in HD) by connecting an appropriate recording device that also disregards copy protection is trivially easy to do, at a cost of around $2-300 in equipment. While I haven't yet done it myself, there are many threads on video discussion fora that tell people how to do it.
It fixes it for normal or easy use. If someone is going to have to pay hundreds, and require technical knowlege, it isn't a threat, compared to anyone with a DVD player that can rip a DVD with free software.

