I'd say no.
The mention of the 'Indians messing it up afterwards' is insane, and ignores the actual policies of the British Raj; which were of Divide and Rule, as with all imperialism.
In the partition of Bengal, Viceroy Curzon deliberatley, with an encyclopediac knowledge of India, chose to cause violent to divide and subjugate a region; setting the Hindu middle class against the Muslim middle class. The British were more than willing to use violence against their servants, most notably at the Jalianwala Bagh in Amritsar, but also in the Salt Satyrgraha and during the second world war.
Similarly, any attempt the Raj made to communicate with the Indians was based around Divide and Rule. In the Round Table Conferences (30,31,32 off the top of my head), the British executive deliberatley invited unrepresentative lackeys of the Empire, like the hapless Princes, to subvert the democratic purpose and strangle demands for independence. Similarly, it exaggerated the representation of some groups (The Muslim League, Indian capitalists) over the vastly more representative INC (who only gained one representative; Gandhi) who had won a gigantic majority across the board in the recent elections.
There was little large-scale religious conflict in India prior to British rule, were not the Mughals famed for religious tolerance?
Thus, is it any suprise that groups who had been divided forcibly for years were in conflict come independence? The massacres that occured are entirely the fault of the British; caused by their imperialist methods and rushed jump towards independence and random allocation of land by Mountbatten. Which also disproves the myth that Britain 'unified' India; Are Kashmir, Pakistan, India, Indonesia, Bangladesh, Sri Lanka, Burma and the Maldives considered 'unified'?
All the infrastructure built by the British were for the British; the railroads and telegraph system weren't used by the average Indian, they were used by the British army and British administration.
Indians education in the Indian Civil Service helped administer India, nothing more, nothing less. These 'advances' weren't given for any benign or altruistic purpose; merely to facilitate exploitation. Being a capable imperialist doesn't make you a 'moral' imperialist.
Indian interests were always held secondary to British; with the Lancashire textiles market being a stirring example of this. Indian soldiers were sent 'over the top' first, where present, in the First World War. Indians were a commodity; cheap, unskilled labour after what is laughably called the abolition of slavery in 1833.