I think they view it a little differently.

I think their aim is not to make their societies richer.

They want to be rich and reelected, and they have a tool to use in their favor, which is printing money.

Printing money favors the ones who are getting them the first or in the beginning.

Also by printing money, they technically don't have to tax the people, so they cab do whatever they want, because they are not bound to their reserves, but their societies reserves. (Without the knowing of people)

By printing money, they enrich themselves and enpoverish their nation.

This whole monetary policy is only good to enrich the people in power, and enpoverish everybody else.