I do think it would happen but the only difference will be Countries would keep an eye on the address owner like coinbase does 
Any of the government provided facility does not gives you anonymity and it will never. And countries like USA and China will never give anonymity to their citizen. The same implies to India also, Gov will make several laws before allowing a user to use a gov run crypto currency.
India allows me to have anonymity, at least, I'm thankful to the government that they haven't put such a shit law to destroy my rights, and be like China.Any of the government provided facility does not gives you anonymity and it will never. And countries like USA and China will never give anonymity to their citizen. The same implies to India also, Gov will make several laws before allowing a user to use a gov run crypto currency.