The Raj? What Raj?

In a thread attached to a review of Gurinder Chadha's new movie The Viceroy's House I came across the assertion that shortly after Independence the Government of India did a survey to find out what people thought about the departure of the British- and then quietly shelved it when it turned out that a very large proportion of the respondents hadn't even realised the British had arrived.

Is that a fact? I've no idea but I'd like it to be.