Appletv Audio/Video loop with Projector and HDMI Wireless

I have a Projector and AppleTV. The Projector has no HDMI Cable from the HIFI Rack up, so I run it currently by having the AppleTV plugged in the projector and Audio out through Airplay onto my Streamer through an Airport Express (48KHz) connected via TOSLINK.
AppleTV HDMI OUT → Projector HDMI IN
| → Airplay → Airport Express → Streamer Toslink → HIFI System

I want to have HDMI Audio from the Appletv played directly through the RS151 and HDMI transmitted through a Wireless Dongle. So could my Setup work like that?

AppleTV HDMI → RS151 eArc In → RS151 HDMI Out → HDMI Wireless SEND → HDMI Wireless Receive → Projector HDMI In

So basically, could I hear Audio from Appletv through Rose RS151, but Video would be looped through to HDMI Out to be sent to the Projector via HDMI Wireless transmitters?

Anybody has a similar setup?

Thank you,
Mike