Hadi was supposed to hold presidential & parliament election within 2 years and he didn't instead extended his term beyond 2014 ...
Even "the Peace and National Partnership Agreement" that was signed back in Sep 2014 never got implemented by Hadi instead the Ansar Allah representative
Dr. Ahmed Sharaf Al-Deen was assassinated which ended Ansar Allah getting out of talks:
View attachment 726981
Or:
Abdul Karim al Khiwani
View attachment 726985View attachment 726986
Or Iranian Ali Asghar Asadi, Iran’s economic attaché in Sana was tried to be kidnapped and due to his resistance he was killed ...
Even Yemen witness people marching in the streets denouncing Hadi policies & demanding law and so on in 2015 peacefully ....
That the legitimate government didn't listen to peaceful protests and killed people:
"...(Sanaa) – Yemeni authorities should immediately investigate the use of unnecessary lethal force against demonstrators in Sanaa on September 7 and 9, 2014. It should hold military personnel and other security forces found responsible to account. Altogether eight protesters and an ambulance driver were killed and at least 67 were wounded.
Houthis, a Zaidi Shi’a resistance group from northern Yemen, held demonstrations in Sanaa, the capital, to protest the government of President Abd Rabbu Mansour Hadi. The heavy-handed response by state security forces resulted in apparently unnecessary loss of life and numerous injuries to the demonstrators, Human Rights Watch said..."
"..According to hospital records and medical staff at the Moayyad Hospital, Kuwait University hospital, and Republican Hospital, to which the dead and wounded were taken on September 7 and 9, 9 people were killed and at least 67 injured, including 33 with gunshot wounds. The youngest person wounded was 12. Of the eight who died from gunshot wounds, four had been struck in the head, while the rest had been hit in the stomach, back, or chest..."
So your words that Saudis are backing legitimate government till election means nothing as he was a transient government to hold the election and he didn't and second he is not a legitimate government as he resigned despite having deal with opposition and not implementing it :
"The draft constitution should be agreed upon by all factions," the text outlines, adding that Yemen "will be a federal state in accordance with the outcome of the national dialogue."
The agreement also promises that Houthis, known officially as Ansarullah, and other disgruntled factions will be treated equally in the allocation of public posts.
"Ansarullah and peaceful Southern Movement and all other political factions deprived of equal representation in state institutions will have the right to be appointed in these institutions," it said.
For sure you are seeking stability in Yemen as long as it is in the line of your interests but for past 6 years Yemen showed you they want to have control on their own country that might not be in the line of your interests ... stability doesn't come through bombing cities , markets, school, stadium and Yemeni port that they are heavily depended to import things ... no sane person equal bombing to restoring stability ,,, no sane person would accept stability means imposing blockade causing starvation a conflict the UN says has triggered the world’s worst man-made humanitarian crisis.
What sane country would put condition on reopening a port that 70 per cent of imports into Yemen are delivered through it? or use it as a pressure tool?
The Hadi was vice presiden of the same Gov "Saleh" that people revolted agaisnt it in 2011 and ruled Yemen with an iron fist for more than 30 years ... even Saleh agreed to step down back in 2011 and pass the power to his deputy Hadi again promises of government reform went nowhere and the lives of everyday Yemenis, to include the Houthis, were no better.
It is not possible to rule for 30 years with iron fist impoverished country marginalized others bring Wahabbi doctrine in a country that didn't have it and neglect all agreements seek terror and expect to see no resistance .. most importantly six-region solution that was put in the constitution while many opposed it and was main real behind Ansar Allah protests beside corruption, poverty and fuel subsidy ...