Since two of the measures of boss competence are entirely employee-rated the causality is likely to run both ways. i.e. regardless of their actual technical ski

Since two of the measures of boss competence are entirely employee-rated the causality is likely to run both ways. i.e. regardless of their actual technical skill in your field and management abilities as assessed by others you are less likely to appraise your boss as competent at their own job and capable of doing your job if you're unhappy about the work they have asked you to do.