The difference being that most people in that new country welcomed Indian troops as heroes and liberators. There are videos and photographs of invading Indian army columns being cheered and garlanded by Bangladeshis/east Pakistanis. Yes it was in our interest to eliminate one hostile front, but it is also a fact that the native population wanted the west Pakistanis to go. The Pak state's legitimacy had become untenable in the east, due to their own actions and persecution.
On the other hand, every time Pak has pushed fighters into Indian Kashmir, they have not been welcomed by the native population, nor have they succeded in sparking an insurrection, which is what your military deluded themselves into believing - both in 1965 when SSG were airdropped in Op grandslam, and in 1999 in Kargil. Your intruding fighters were treated as intruders, not liberators.
As if ISI or Pak's MI were formed...
The point is that the Indian army chief has never admitted anything like tht. That's a blatant lie, and I have to clarify that.