A five-year-old could cut a 1/6 doll's hair, it just wouldn't look good.
As for hairstyles, it really depends on (a) the length, (b) the material from which the hair is made, and (c) the thickness. Short hair is hard to do on 1/6 dolls with factory-rooted hair because the plugs are usually very thick and the hair (usually saran or kanekalon) relatively coarse. I've often had to thin down plugs and even cut some out entirely to make chin-length hair sit properly.
But yes, I've done restyling both of wigs and rooted hair for 1/6ths. What can I help you with?

"Dolls love to be played with. They are lonesome if you leave them always in a box. How would you like to be left day after day alone, with no one to love you?"