Yes mine supports both Miracast & Wi-Di protocols. One is an Android technology and the other is an Intel technology and they can't cross over each other.
It's a very easy fix though, just buy a Chromecast dongle or something.
I don't use Miracast very much at all as it's quite laggy compared to Airplay mirroring on my Apple TV. It's a bit of a gimmick to show off to mates when they come round.