Is the fit wrong on my road bike or is my body too stiff / inflexible?
Honestly, whichever feels most comfortable to you is the one you should go with. Take both of them for as long a demo ride as the shop will let you and don't pay attention to how the fit "looks" in the mirror. Whichever frame you decide on, be sure you get a fitting from a reputable source - ask other cyclists you know to see who has the best reputation in the area.