These are strategic movements, even the rhetoric involved is part of the game. As I said, in the end the UAE wants to gain something worthwhile after the conflict subsides (and I suspect it would soon due to their hasty action).
I will say this, even if I don't want to, the Hadi government wouldn't have done anything without Saudi approval, including the UN complaint. But Saudi will avoid any direct disagreement in the open with the UAE, especially in these sensitive times, and the UAE knows that. Both parties need each other with bigger issues.