In India, the British made a great effort to set up institutions to provide an indigenous middle class and locally recruited civil servants, senior NCOs, and engineers. The Netherlands, to the best of my knowledge, did not. These somewhat Anglicized Indians took the view that British institutions were to be the basis of a modern India, as is shown by the dates of creation of the Indian Penal Code, the Telephone & Telegraph Act, and also British institutions like Indian School of Mines, the Civil Service exams, and the structure of Indian Railways.

Additionally, many Congress leaders, as I have said before, regarded older Indian practices of government and customs like sati, and lack of women's education as backward and used British rule to further their ideas of development (such as Vidyasagar's schools for women). Using British institutions and accepting their customs also meant a gradual softening of attitude to Britain in general.

Added to this, many prominent Indians of the emergent middle and upper-middle class such as Gandhi, Shastri, and Nehru were educated in England before coming back to India. Education abroad provided Indians who could afford it social opportunities as well as making them more Western in opinion and sympathy

I'm afraid I can't say much about the British opinion, but these are my sources- Jawaharlal Nehru, Discovery of India Laurence James, Rise and Fall of the British Empire Jawaharlal Nehru, An Autobiography