It’s not an ideology of greater good. I mean it literally in the utilitarian sense: left thinking, focusing on improving the plight of wage earners literally effects more people and is a greater good.
Improving/preserving wealthy elites will naturally benefit fewer people.
These are facts, with evidence. I can go deeper if you find this simplification too blunt. It isn’t overly simplified it. It describes what the left right spectrum means, and yes I’m applied a value judgement, but I can back up my value judgement with facts.
I’m not an extremist in my views though, and I will accept democratic processes, and there is benefit to floating around the spectrum, rather than committing to a single point.