Renaming to Bharat opens doors wider for Akhand Bharat idea.
https://en.wikipedia.org/wiki/Akhand_Bharat
I often thought that it was inevitable that India would become next problem on the list of Westoids to eliminate, but i figured that this could happen only after-if Westoids defeat China and Russia. In this scenario both Russia and China defeated and then Westoids fix their gaze on India, cripple it, balkanize it and conquer it to not allow any other competition to Western hegemony to rise up again.
But now it seems that India might change the timeline and become beligerent and "grabby" much earlier, before Americans can deal with China. This could lead to China-Bharat clash much earlier, but Bharat will have less moral high-ground, less support in the region and a lot of internal problems to deal with.