Minor errors in the ticketed name haven't resulted in denied boarding of parties whom I know to have travelled under such circumstances -- and this includes non-US citizens. Even minor errors being transmitted as part of APIS won't cause issue generally unless the passport number/visa number or the name transmitted result in a trigger being set independent of a minor discrepancy.

I've seen passengers travel with their ticketed names reversed, tickets with titles indicating the wrong gender, tickets with spelling errors in the name, passengers with partial names or names merged.

A note in the PNR is generally more than sufficient and APIS-related transmissions and processing of data, inclusive of minor discrepancies, do not routinely cause a problem for the passenger under such circumstances either.

For APIS-type compliance, it's readily possible for airline reps -- specifically AF reps -- to swipe the passport (or otherwise enter the required data) and transmit the required data in the required form even where the associated ticketed name is somewhat different than that printed in the passport.

It'll take more time to supply the airline rep with the "first address" information and to have her find the booking at check-in than anything else. To solve this problem, at all times, have the airline rep pull up the record by using the PNR/record locator. Prior to check-in what I suggest is just calling up AF after the passport comes in and give them the passport number to add to the record and also supply them with the address information demanded of non-US persons by the Department of Homeland InSecurity. Then at check-in, you'll be fine since they can use a few keystrokes to do whatever is necessary since the underlying ticket is VALID.