You might not vote them into part, but the people you do appoint them into power, since Alan Greenspan has argued for zero inflation has the best policy in the long run.
I'm not saying that it isn't a misguided theory - I'm far too ignorant to honestly argue macroeconomics - but I disagree with your representation of it as a settled argument, disputed only by cranks.
Economist here. In my view you're exactly right. Though there has been a merging of Neo-Keynesian and Neoclassical modeling methods in recent decades, interpretation thereof is still a battle.
I'm not saying that it isn't a misguided theory - I'm far too ignorant to honestly argue macroeconomics - but I disagree with your representation of it as a settled argument, disputed only by cranks.