I'm not sure why you are bringing this point. OP is not saying British are worse than Ottoman or other empires.(Two Wrongs Make A Right Fallacy)
The reason has more to do with the fact that victors write history, and the Empire co-opted and exploited local institutions. So while Britain’s Empire was lost, its language and cultural impact reigns supreme in many ways to this day.
Not knowing about Mughal is ignorance, while not learning about the bad sides of our own history is (often: culturally imposed) revisionism.