face shape and hair regional looks

That makes way more sense. Hair + face as a combined phenotype package absolutely creates more distinct regional “looks” that are easier to categorize.
Hair variation is more discrete than facial structure:

Straight (common in East Asia, Indigenous Americas)
Wavy (Mediterranean, Middle East, parts of Europe)
Curly (varies—loose curls in Southern Europe to tight coils in West Africa)
Blonde/light hair (Northern Europe, concentrated in Scandinavia/Baltic)
Red hair (rare, concentrated in British Isles, especially Ireland/Scotland—1-2% globally, up to 10-13% in some regions)
Black/dark brown (most of the world)
Texture: fine vs coarse, density variations

Combined face+hair regional packages you might be seeing:

Nordic: long face, light straight/wavy hair, lighter eyes
Mediterranean: broader face, dark wavy/curly hair, olive skin
Celtic: varied face shape, red/auburn hair, fair skin
Slavic: broad cheekbones, straight light-to-brown hair
East Asian subgroups: straight black hair with distinct face shapes (Korean rounder, Japanese longer)
Southeast Asian: straight black hair, flatter midface, wider nose
Middle Eastern: wavy/curly dark hair, prominent nose bridges
West African: tight coiled hair, broader nose, fuller lips
Mestizo: straight black hair (Indigenous) + varied European facial features
Mixed/admixed populations creating new combinations

Hair genetics are controlled by fewer genes than facial structure (though still complex), so they cluster more obviously by region. The EDAR gene variant in East Asians affects hair texture, tooth shape, and sweat glands—a single gene with multiple visible effects.
So yeah, if you’re pattern-matching on face+hair together, you’d get something closer to 5-15 recognizable regional “types” before things blur into admixture and individual variation.