But all these people in Turkey walking around with their brand new hair follicles, aren't those from other people? Or from the same person, just elsewhere?
The follicles come from the back of your head. Feel your head, there's an area where the skull and vertebrae meet. Place your hand over that area. That's the "donor" area. Follicles on the front of your scalp are sensitive to DHT (what your body metabolizes testosterone into) for many humans. This is where male pattern baldness happens.
That would not be practical. Visible body hair (and head hair) is "terminal hair". Peach fuzz is "vellus hair". Androgens turn vellus hair into terminal hairs (and are also the driving force for male pattern baldness). There was a big stink on social media about the character Aloy in the game Horizon who had vellus hairs visible on her face - like every other human woman.