Yes, it all turns "grey" one day.
Actually, it looses pigment and turns white, and then later becomes totally clear like a fiber-optic wire.
This is also related to hair removal because on the one hand white and clear hairs are thicker, deeper and more strongly rooted. They are more difficult to remove. Laser treatments also cause many normal hairs to become white or clear in the process. Those are the hairs they will eventually tell you to "finish with electrolysis".