Quo vadis taxonomies of consistent behavioural patterns: time to change horses?

For over a century, factor analysis (and its variants) has been the dominant statistical methodology in differential psychology, in particular in the development of taxonomies of consistent behavioural patterns (CBP) whether normative or pathological. Factor analysis suffers from considerable methodological problems such as arbitrariness of factor number, rotation indeterminacy, factor indeterminacy, lack of model robustness, universality …