You too seems unable to contemplate alternate timeline. Start with thinking - what if there was no partition.
Unionists of Punjab were a party of Punjabi landlords rather than urban elite. Ideology meant little to them. They understood that the prosperity of Punjab depended upon its agrarian economy and that could only flourished if its communal harmony is maintained. That's all. And they were staunchly anti partition and in a too well relation with Congress to just break away, that too when there was no motive. And even further in this alternate future, if the Green Revolution happens in Punjab as it happened IRL then there is absolutely no question of secession.
Also if there is no partition then there is no riot and Direct Action Day or any crap like that. So Hindus and Muslims of this united India would have harboured far less animosity towards each other than those of the subcontinent.
It's true that a lot of wannabes wanted so called Independence or chose to retain their 'Kingdoms'. None succeded in real life and none would have succeded in this scenario. There's no reason to think there would have been no Patel in this undivided India. As for Assam, Gopinath Bordoloi would still be there to ensure Assam emerge a separate state rather than backyard of Bengal.
So your 6-7 provinces story doesn't even begin to realize if India is given Independence anytime post the reign of Lord Dalhousie. The only things that would not have happened were the riots of Munger, Calcutta, Patna, Noakhali etc and the second installment of that same shitshow in Dhaka, Baraguna, Chuknagar, Jathibhanga etc. Hyderabad would have happened anyway though.