Do they really need to concentrate air forces against an irregular army with no navy and no air force to establish air superiority?
This argument of yours, contrary to what is expected, may serve the purpose of highlighting the inability of the US to establish air superiority. If they could, they would have already established it.
I think you are ignoring the implications here.
If they needed to concentrate air forces against the Houthis, what does that tell you about Iran? Against Russia? Against China?
Do you see how the war in Ukraine has made the debate so polluted on this issue of air superiority? If the Americans, who already had forces deployed in the region, counting on a CVN with its entire air wing and bombers in Diego Garcia, were unable to establish air superiority by losing combat aircraft and drones to the Houthis, do you really believe that the Americans would have the capacity to achieve air superiority against Russia? Against China? Even against Iran, this objective can be considered doubtful.
This is what DS 91 (outlier) and two decades of invading countries without the slightest possibility of retaliating against the attack provided to turn the debate on air superiority into a war of narratives, but the issue of Ukraine and its repercussions, combined with other more recent events, are demonstrating that air superiority is no longer as easily achievable as it was made to seem in DS and air supremacy is a thing of the past.