It doesn’t make sense that the Houthi “critical military infrastructure” is made of up of big fat targets that can just be bombed by a nation with air superiority for the simple reason that the Houthis have been bombed by Saudi Arabia (which has air superiority over Yemen), using US provided hardware and likely intel, for over a decade and they’re still there and still control most of the country.
This isn’t Iraq with AA and radar emplacements, big fat army barracks, large ammo depots or even government buildings that you can just take out to significantly degrade their combat effectivness and remove command and control structures.
Maybe there once were big fat critical infrastructures Houthi targets that the US could just take out there, but over a decade of war with an enemy with exactly the strategy of hitting them from the air has made sure it’s not the case anymore.
That the US and UK bombings to stop the Houthis from attacking ships seem to have failed miserably, is something that indicates that the Houthis are adapted to exactly the kind of attack favored by the US to takeout “critical military infrastructure” and leadership.
Another point is that judging not just by the Poshtun in Afghanistan but other similar tribal groups, taking out their leadership just results in new ones getting the job - tribal groups in the Middle East don’t just get totally lost and collapse as an effective military force if you take the top people out.
My reading of the actions of the US there now after the bombings failed to yield significant results is that they’re now playing the “better the devil you know than the devil you don’t” game and instead of trying to take out the leaders (who are known variables) which would just see them replaced by unknown variables, they’re trying negotiating with them instead.