The white TdF has some quirks. There is an adapter claw for the rear derailer. What's up with that? Also, it doesn't have the standard Stronglight 93 crank. I don't know what it is, but it kind of resembles a T.A. Cyclotouriste double I have.

All of the cable guides on those bikes are clamp-ons. If the white one has no derailer hanger under that claw, it would be the perfect frame to convert to a single speed or fixed gear.