Could you explain?

The left right spectrum refers to representation in legislatures, a physical seating chart if you will, even in the US Electoral College. There is a reason to keep some people more physically separated, learned over time by civil institutions. These organizations, that exist in a left-right spectrum context, are the rulers, decisively in republics. Independently and regardless of where the electors or anyone else are. There is always a left-right spectrum even if not party-based.