No desktop VR headset is wireless today, and won't be for the foreseeable future due to latency and bandwidth requirements.
Wires are suboptimal but tracked wires (just like the headset is tracked. i.e. you'll see the wire in VR) should alleviate this problem until wireless technologies mature.
Mobile VR will provide room-scale tracking without wires in 2016. Watch this space.
Good discussion of why you can't stream VR experiences [0]. Also, streaming VR kills privacy.
Positional tracking with a smartphone's built in camera is already possible[1] thanks to SLAM[2]. Let me say that again, Google Cardboard and GearVR can (technologically) do positional tracking, right now.
The reason they don't is probably because you have to spend time scanning your room. But that's a really poor reason, I agree with OP, we should expect to see this happen very soon.
Wireless solutions would introduce too much latency, so you're always tethered to a box. It takes some getting used to, and I definitely wouldn't recommend a lot of running and jumping, but it's not a major complicating factor in my experience (though that's in an office environment that was set aside for VR testing, so a home installation may differ significantly). Personally, even though the movement area is limited and the wires are relatively cumbersome, I've found the Vive experience much more immersive.
Wires are suboptimal but tracked wires (just like the headset is tracked. i.e. you'll see the wire in VR) should alleviate this problem until wireless technologies mature.
Mobile VR will provide room-scale tracking without wires in 2016. Watch this space.