If our politicians did not have that power, why would the banks donate to them so they could buy that power?
Well that's stupid, silly, and immature...why? For one, you haven't bothered to specify where the line is that distinguishes a "kind of central power". It's wholly arbitrary and subjective, not to mention childish and unrealistic. In fact, that's why you use that phrase "kind of central power", because
you don't know where that line exists for yourself. So you end up just making arbitrary and subjective judgement that apparently have degrees of central power. What those degrees are is unmentioned, mostly because you realize you cannot be an absolutist without looking like a complete jackass.