Do you think the Pakis won't empty their nuclear arsenal on us if we did that ?
No, they won't. Nuclear deterrence as we know it has changed (mostly since Balakot).
With Balakot, we called Pakistan's bluff (not that they have nukes, but that they'd use them against us and risk a second strike). Likewise, China has been calling our bluff in Ladakh. Our nukes can reach as far as Harbin, but will we use them over Chinese gains in Ladakh (and risk a second strike against any target in India)?
South Asia will experience many territorial changes in the near future over this new form of deterrent bluff-calling, and quantitative conventional warfare will be back in fashion. Which means all the systems we thought were "20th century," such as large fleets of MBTs and APCs, heavy bombers, large artillery, etc., are not just back on the table, but have become a necessity. India will raise those Mountain Strike corps.
The upper few wrungs of the escalation ladder have just been raised by a lot.
So to answer your question, even as crazy, ideology-fueled hare-brained mullahs in uniform, as Pakistan Army are, they will not nuke India over a conventional advance into so-called AJK or G-B.
Pakis have taught us with Swift Dzire that it's okay to respond to the bigger guy on his turf; and China has taught us with its recent actions in Ladakh that it's okay for India to salami-slice into Pakistan.