Should some states have zero?
Words have histories of course, and probably at one point this was a spatial metaphor - maybe some bicameral legislature literally did have one of their higher status body on a different floor than their lower status body. But the words upper and lower when applied to the legislative branch have evolved since then.
In particular, for any bill requiring spending, the Senate can only amend a bill that started in the House. Impeachment must start in the house and is then tried in the Senate. The Senate can't nominate someone to office, they can only confirm a nominee presented by the executive.
I understand our federal politics are a complete mess but think that has more to do to equating money with freedom of speech, the great return on campaign donations, the polarization of our media and the lack of solid non-partisan research institutes that our elected leaders can rely upon. Have you ever watched CSPAN? Our leaders routinely become informed about the world around us through the same mass media as we do.
I would not mind that