That's the way it sounds, implementation details have not been presented. I'd suggest you apply asap, get the job offer, and then make darn sure you're guaranteed the domicile (if it's that important to you) before you accept a class date. If you show up day 1 and they say "sorry, you're going to LAX in the Saab" then I guess you can go home if you're unwilling to commute for a year 'til you can switch airplanes. Nothing ventured nothing gained.
New info on minimums and domicile policy here:
http://www.americaneaglecareers.com/pilots.html
Good luck!