I would argue that it does matter because the will of the masses is an extraordinarily powerful force and provoking them by ousting someone universally loved li

I would argue that it does matter because the will of the masses is an extraordinarily powerful force and provoking them by ousting someone universally loved like Khan (heck I am a huge Khan fan and wish we had politicians like that in the USA!) can cause huge societal waves. But I do agree with you, having the pleasure to know some upper class Pakistanis, that the military is the basis of the government.