It is simply not true to the same degree. The American colonies believed the King of England had violated their rights as Englishmen, Indian independence activists simply wanted Indians to have the same rights as other citizens of the UK and subjects of the British crown. The Indian independence movement started as a mirror of the Irish self-rule movement.
hardly anything is ever true to the same degree, and so saying something is simply not true to the same degree seems oxymoronic, in that if it is not true to the same degree implies that it is somewhat true to a lesser degree.
The 'Americans' felt that they were being treated as second class citizens with no meaningful political representation on their behalf. Hence rallying cries like 'no taxation without representation' which originated, at least in modern times, in Ireland.