George should be concerned more about himself, given that he looked quite different during his brief appearance in Part II. Another thing concerns me.
When Marty goes back in time The Old West (1885), Doc Brown asks him, "What idiot dressed you in that outfit?". Marty replies, "You did". Surely the Doc-from-the-present-who-is-now-in-the-past would know this, and he would also know that he was going to end up in the Old West - his 1950s counterpart knows because he and Marty read the old Doc's letter from 1885!