It's a fundamental problem of the political compass, since people's political beliefs are usually object-level or tribal rather than rooted in fundamental principles (for example, when their party controls the state congress but not the federal congress, they believe [ISSUE] is a matter of states' rights. When their party controls Washington but not the state legislature, they believe [ISSUE] is a Federal matter. I'm sure you've seen the studies).
I don't like the orthodox compass myself, and prefer the categorization system described in the blog Everything Studies here; https://everythingstudies.com/2019/03/01/the-tilted-politica...