People like to thumb their noses at comments like this, but the Saudis bombed the Houthis for the better part of a decade and that still couldn't stop them from taking potshots at Saudi oil infrastructure. Note that the Saudis were using US weapons and intelligence to attack the Houthis so not totally different from the current situation. In the end diplomacy was what got the Houthis to stop. I'm skeptical that this time is going to be significantly different.
ETA: by comments I mean the comments of the Qatari PM.