It all has to do with the rules of engagement. We have to relearn how wars are fought. You KILL the enemy. I assure you, a carrier group can do that, if they’re allowed. Apparently, the current theory of victory is to use ships to run the Houthi out of ammo, rather than killing them and blowing up the ammo.
Another approach is to hit the producers and conveyors of the arms the Houthi use.
[It all has to do with the rules of engagement. ]