A centralized ID makes it easier to verify identity, given that alternative local systems of identification were easily falsified and used to siphon money away from welfare programs by local politicians of all parties.
Before Aadhaar, to get your PAN card you often had to deal with your local panchayat, and that was often a compromised method with local panchayat functionaries requiring bribes or straight up ignoring individuals.
Furthermore, because the local level was so compromised, it was easy to create either fake IDs which was often used for siphoning funds.
Digital/Identity Libertarianism is a Veblen good when the absolute majority of the population is dependent on government benefits and subsidies.