I actually believe you'll see some percentage of the unvaccinated get this now.
Ideally the Moderna will be close behind as I feel that's the best of the three but ultimately there will be some # of folks who aren't going to be vaccinated regardless.
Your post insinuates that every unvaccinated person was simply awaiting full approval from the FDA, when that really isn't true at all. Some number definitely will be more comfortable with it now, but it was hardly the only objection.