Well, all these military adventures are of course conducted by the East India Company, not the actual British government. In theory, anyway - they grew harder and harder to distinguish as the Company had its trading privileges removed and became more purely an administrative corps. Who occupies the throne has less effect than the Company's financial position, which is seriously in the doldrums ITTL - among other things, they've had to abandon the doctrine of lapse to avoid incurring any more administrative expenses.