I strongly doubt the world as a whole is moving towards a global supranational order. The opposite appears to be the case. Rule based international relations are on the retreat in favour of purely transactional power dynamics.

On regional levels there is more going in that direction. There is some supeanational consolidation going on in Africa, to a more limited extend in Southern America and even to a more limited extend in South East Asia. All of those examples are much loser than the EU.

PS: I doubt many EU citizen are against a trade deal with India, largely because they have never even thought about it. Opposition largely depends on what is actually in the package.