You are right to point out the importance of centralized state control, but whether or not a state is a democracy or monarchy is irrelevant. For instance, Germany and France are both democracies today yet the lay on opposite ends of the spectrum when it comes to centralization. The US is unique in that it was a federal republic with a fairly large degree of power being held by the states at the beginning of industrialization, yet it also experienced increased centralization of power during its period of industrialization, leading to the Civil War. India's main issue is not that it is a democracy, but more of that it is composed of many partially autonomous states with conflicting interests that prevent of the formulation of a cohesive national industrial policy.
I'm saying 6/6 East Asian states (JPN, KOR, TW, HK, SG, CHN) were dictatorships/defacto single-party states, and 3/5 European states (UK, GER, RUS) except FRA/ITA were absolute monarchies during the main phases of their industrialization.
Obviously it's not a clear-cut case, as you have FRA/ITA that some lost absolute monarchy prior to full industrialization, but
generally speaking, centralized states produced the bulk of the developed industrialized states today and only later did they become full democracies.
India going against this trend by going full-potato (even beyond FR/ITL) as a full-fledged democracy with all regions jockeying for self-interest... they aren't going to get shit done.