We have never used Etihad I don't think. There fleet is based in the middle east. They operate from Abu Dhabi so having a plane on standby that could be used for commercial flying is highly unlikely, especially in Europe.
Like I said earlier, we use a private leasing company that don't use their aircraft, generally speaking, for commercial flying. Hifly shuttle high ranking government officials and the like, around the world. Their planes don't come cheap but we'd rather do that than the Sheik use his own airline.