Saudi forces are entirely irrelevant in this conflict. They have never set foot in Yemen aside from air strikes.
The fighting entity on the ground is the Houthis vs The Maribbians, Tribes of Jawf, the Shabwa tribes and the Giant brigade forces from Aden and Abyan.
Houthis are overconfident thinking they won´t get uprooted in this conflict because they have seen the Ukraine war and the Gaza war.
First of all in the Ukraine war it is against two great foes whereas in the Gaza war the Israelis have good airstrikes but lack the conventional forces who are willing to engage to the death which is why it didn´t really move anywhere and could not defeat hamas in a very small area.
But do not make that same mistake against the opponents of the Houthis, they are willing to die on the battlefield willingly plus they match the houthis in manpower which makes the fight per to per.
In few surprising military manouvers the fight could be in Sanaa and Saada and it may not be apparent yet to anyone know but this is the shape the war will take.
Also the Houthis will fire whatever they can now because later they won´t have the means as the war will enter into deep conventional attrition warfare and the fatigue will set in.
This is a patient and consistent opponent the houthis have plus thy have the will to clear the country.. That is the most dangerous enemy you can fight who is self-assured of victory with stabile morale. Not fighting on khat or make momentum.
The Houthis will fight until momentum moves the other direction which it will do every soon.