you can't compare NZ and DK with US legislative member. The effect of their policy making in terms of nominal number ($$) is multiple order of magnitude different.

I agree with the OP, where in nuance, paying policy maker more would more or less reduce corruption. It doesn't guarantee that it'll work but at least worth the try, cost wise.

Just like in sports gambling, one of the most efficient way to tilt the favor to your bet is pay the arbiter.