Agreed. No to mention the fact that the comparison between Muslim rulers of the Subcontinent and British colonial rule isn’t really valid. The “foreign” Muslim aristocracy didn’t rule India as a distant colony - they settled in India, and ultimately incorporated themselves into the hybrid Indo-Persian Muslim culture of the Subcontinent. Their descendants didn’t “return” to Turkestan and the Middle East when Muslim rule came to an end, rather they stayed on in Pakistan/India/Bangladesh and identified themselves with those national identities.
The British never incorporated themselves into local culture. They ruled India as long as they could profitably exploit it, and when the time came, they packed their bags and left. There’s no reason for the Christian community in the Subcontinent to identify with them.
I never cease to be amazed by some of the nonsense Indians try to claim sometimes.