I kind of doubt that, given that the PS seats will be on par, and even a little nicer than, most domestic F seats. They will have to figure this out though, and not jus for training routes, unless they never intend to run these domestically. However, there are certainly domestic routes that see regular intl planes (330 SFO-ATL, 777 LAX-ATL).

My guess is that both PS and D1 hard products will be sold as domestic F since this is the level of soft service you will get in each. It will be interesting to see if they charge more for one.