I think it may be outside the free bus zone, but it is difficult to tell as all the maps TFL provide are schematic maps, not to scale. From the maps, I don't think the zone extends along the Bath Road beyond the turn to Hatton Road north and the Moxy is a fair bit beyond that.
It is almost as far out as the Doubletree by Hilton, but not as far out as the Travelodge.
Maybe someone with better local knowledge can confirm the exact limit of the Free Travel Zone?

Nick