Actually the particular books I'm referring to were burned by the Portuguese, but lots of invaders destroyed Indian books - Portuguese, British, French, Dutch, and yes, Mughal as well.
So it really is a (shameful) repeating pattern of many conquering human civilizations throughout history rather than one of a particular culture which happens to be dominate.
This is another piece of history which doesn't fit neatly into the colonizer narrative, which is popular today, from which people try to hold modern cultures responsible for past generational cultural events, somewhat like an 'original sin' which needs to be attuned. One could go further and try to point to religion itself as the main driver - but even then that is merely another abstraction over standard human tribalism. Which is somewhat ironic as the colonizer narrative is typically used today as a tool for pushing other forms of tribalism (political, cultural, etc).