I agree that it is complex and your assessment seems accurate but the problem with Saudi is not that they are opposing the houthis but their tactics of attacking supply lines and bombing indiscriminately. They refuse to use ground troops because they rely on Pakistan for an army and Pakistan does not want to invade. So they continue to do airstrikes on any and all targets like hospitals, kindergartens, food supply caravans, power stations etc and they don’t seem to care.

I worked closely with their reconnaissance aircraft as a foreigner and it’s funny that when they found out I was in Afghanistan they lectured me about killing kids but they are 100 times worse. I eventually left because I was disgusted with the way they conducted that war and did not want to be a part of it regardless of it if supported US foreign policy goals.

So if the Houthis win I don’t know if it’s better long term but at least 5 year olds won’t get blown up on their way to school but a Saudi pilot.