There is also a big difference between editing the germline and somatic genome - the former can be passed on to children and descendents - clearly a much bigger change than one person.

For a genetic change to be passed on it has to appear in the male or female gametes ( sperm/egg ). So if I change your skins cells that change isn't in your sperm/egg so can't be passed on.

When you edit an embyro at an early stage you are effectively changing all cells - including gametes - so the change has impacts beyond the immediate individual.