I think the better question is, how many are refusing to be vaxxed at all? Plenty will go to 'no appt necessary' as it becomes more widespread. I have no idea how many don't get flu shot, doubt we have any reliable data on that for any year.How many Americans, who do not bother to get the flu vaccine that do not require an appointment, have the interest or patience to "finally get an appointment" for a Covid vaccine?
That is the problem with the current and future Covid vaccine distribution system.
If I had compelling health issues, I would jump through the hoops to get vax appt, but, I don't, so, I won't. I'll find a slot when a slot finds me and get it done. If I had a doctor in my new city, I'd schedule it through them/their system, and if I hadn't moved, I would have responded to emails sent from previous doctors of mine that told me I was eligible now and where to go, how to get on the list, etc.
It's a total crapshoot based on your location and your existing medical connections. yeah, it's whacky, no doubt about that, but, trying to vax an entire country quickly is a major undertaking and snafus are expected to continue. Less snafus, but, snafus. I think had you been less patient, you would have already had at least first dose. I'm also on the, eh, let others crowd the line ahead of me, I'll get my turn....