To be fair, a shared Chromecast screen felt slower than using Miracast technology. But in applications where latency really matters--say, streamed video via Netflix or another service--chances are that a dedicated Chromecast app exists. And, of course, the Chromecast is markedly cheaper--cheap enough that it might be worth simply paying $35 or so to see if it works for you.
Threre's even a fourth option: a wireless presentation mouse. Unless you need access to a physical keyboard, you can connect your notebook directly to a TV via an HDMI connection, then use the mouse to control the PC across the room. Expect to pay about $50 or so, depending on the quality of the mouse.
That's not to say that Microsoft's hardware isn't capable, or with an exception or two, can't do the job. Right now, however, I'd recommend the Chromecast as a cheaper solution that might be good enough for what you need.
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