You should act as per public sector bank advice
2) Since the property is unregistered, no legal title has passed to the current NRI owner yet. They only possess a "beneficial interest" or contractual right through an allotment letter or Agreement to Sell. By executing a Tripartite Assignment Agreement, the NRI owner legally assigns and transfers all contractual rights to you. Once executed, the NRI exits the picture. Legally, the builder can then directly execute a Sale Deed with you as the first registered owner.
3) Public sector banks (like SBI) maintain much stricter due diligence guidelines. They require the NRI owner to be a Confirming Party in the final Sale Deed to create an ironclad "paper trail" or chain of title. The bank needs to issue the Demand Draft (DD) in the NRI owner's name to pay them off. If the NRI owner is not a party to the registry document, the bank cannot legally justify releasing a home loan DD to a person whose name does not appear on the final title deed being registered.