Left and right never really meant anything, and the "political compass" is even more of a distortion of it.
"Rooted" vs. "mobile" does not mean anything, either.
The only distinctions in political opinions that matter on a fundamental basis are:
- Economic system and class interests you support
- Revolutionary/reformist/reactionary
- Idealist/materialist or to an extent, progressive/conservative, which end up being related.