The Houthis are some of the most sophisticated militant groups in the world. Your country has struggled, and in many ways, has seceded major chunks of territory to the Baloch and TTP groups. What value is Pakistan going to add by joining Riyadh’s war of choice against Yemen except by being cannon fodders?
Besides, the Houthis are a major, and perhaps the most potent Iranian proxy today. Do you think Iran is going to watch Pakistan join a war against its main proxy? The Iranians will most likely retaliate by arming and facilitating the Baloch groups that are now the shadow government in your Balochistan. The Iranians were already hosting RAW and the other Indian agencies involved in the insurgency in Pakistan. They will simply re-engage them.
This whole Pakistan Turkey Saudi Defense (PTSD) Agreement is nothing more than a glorified mercenary setup. Much like the Trump sycophancy by the self-appointed Field Marshall, it’s another way for the army generals to remain relevant externally.
You can call it ‘whataboutism’ but these are the hard facts.