Makes sense, but the people there will be an added security liability. I would rather nibble away at Baltistan, the portions that remain with them. You will recall that Turtuk came into our hands in 1971. It is preferable to the poisoned apple of POK.
Second, Aksai Chin should never have been a goal, and should not be a future goal. The security of Ladakh, if it can be secured by a proper treaty (there has only been one proper treaty in those parts), should be our goal; unfortunately, today, it is rather closely linked to Aksai Chin. On the east, we must get their recognition of our boundary lines.
On the bigger picture, their entire claim to Tibet - for that matter, historically, their weak positions for Gansu and Qing Hai, not to mention the status of Amdo and Kham - is a weak point that we have never addressed, leave alone hammered.