If we are talking about the government using blockchain as means of cost-cutting and being more efficient I think it would benefit the poor overall and the before expense being used before can now be shifted to other projects of the government which will benefit the poor and the needy. But I don't think it will be enough to solve the poverty situation overall as I don't think that the expense being save will be big. Solving poverty will always depend on how big and how will the government manage their budget on focusing amd solving it.
Well, that would be for a government that is willing to work to bring a huge solution to its people and solve some economic issue going on in the world. As it is, it is obvious that so many of the leaders in the corrupt nation will still find a way to do whatever it is they have been doing. Like you mentioned in your last statement, it still will all ball down to how things are managed and sure, blockchain technology may bring about transparency and accountability, but it would not just solve the world problem fully.