You are simply trying to generalise things here.There is always a difference between suffering of commeon people under local rulers and invaders.
The invasion caused India’s indigenous language(the one that had been practised ,revered and respected)Sanskrit, to decline it’s importance and position.
The other things as you said,music ,food and attire are simply not of importance.They were just a part of the natural process of change or metamorphosis ,as what you call. Moreover,the ouside influence has not had any good impact over these.Still the Karnatic or the pristine Hindustani music is being practised and accepted.
I still wonder what destructions Humayun had caused?He was simply day dreamer and a lethargic guy who never cared to act even when his enemies were at his door step.