Counter battery fire simply does not work. These missiles are not stored nor fired in central locations, there are only a couple at a time. You can fire at the launch spot all you want, there's going to be no one and nothing of value there. It's the same tactics the US itself copied for the HIMARS, and despite thousand of airstrikes Russia hasn't been able to destroy them.

Training and top level command is most likely not even in Yemen. You could hit the ports, that wouldn't stop the import of these missiles - they are shipped in small boats as a kit, assembled wherever, and then kept in a cave somewhere or in a car, ready to be fired. No port or infrastructure needed.

These tactics have been used since the 80s, and no solution short of a ground invasion can stop them. Israel couldn't even stop Hamas and the PIJ from firing guided rockets from Gaza - at the end of the day when the IDF bomb houses that rockets were fired from, it's just theater: they never store more than a dozen munitions, and by the time counter battery fire arrives, they've likely fired all munitions already. This is a tiny 2.4sqm strip fully blockaded, I don't see how you can stop it in Yemen.