Every leader, every commander, from the greatest genius to the absolutely delusional has had an objective, no matter how hopeless, when going to war. The way you've written it, Pakistan and it's Generals would be the first country, maybe even the first entity to go to war without any reason, save perhaps,"We have nothing to lose anyway".
But that apart, let's assume you're going to war with India. You can't do it by sitting inside your territory and fighting off the coward carrot loving baniyas, coz the coward's too scared (read terrified shitless) to invade you. You're actually going to have to invade the vegii land to start the war. Now I'm not a student of history, but invasion is anything but a cup of tea for PA, unless it's the Senate House of PAK.
But keeping aside these minor irritants, Let's assume PA does actually invade India, surprising the IA. Your Baniya slayers advance into India. What next? The IAF reacts first, is overbearing, establishing air supremacy over Indian Skies. With far superior numbers and quality of aircraft, backed up by a very very dense Air defense grid, PAF would struggle to even generate CAPs over their own forces inside PAK, let alone India.
Then there is the inevitable reaction of the IA, mobilising it's entire might over some 72 hours, ringing in for the first time the 700,000 numbers so famous in PAK
I'm not too bright, but after Longewala, no PA armored unit commander will even step over Indian territory without air cover.