Interestingly, the UAE seems to agree hence why it has withdrawn the majority of its forces from Yemen.
UAE already established its influence with STC in South Yemen, it doesn't really need to be involved in Yemen. For KSA the situation is of course different because all they have to show for their years of war against Houthis is a stronger than ever Houthi force still on their border and no stability in Aden. However, Houthis control large mountainous areas near the border and they cannot be defeated. So I think Houthis and KSA should make some kind of peace deal and Houthis agree to power share with the Hadi Government, but easier said than done...