IMO, if they're going to make a push for it to be an annual thing, it would be a good idea if the shot were available before school starts in the fall.
This is true, but we also know that kids are a disease vector that especially kicks in after every break, and that adults seem to be more vulnerable than kids.
Messaging on this would suck, but I'd love to see split vaccinations, with kids getting vaccinated in late August. That way, they're less likely to vector the disease and we might tamp down the winter surge, and their 'prime' resistance would run through Christmas. And adults getting vaccinated at the end of October, with their 'prime' resistance running from just before Thanksgiving through the end of the winter heating season.
Considering most people don't really think about Covid anymore, it certainly isn't surprising people aren't going to be scheduling doctor's visits for it.
I'm actually a little surprised there isn't a combined influenza/covid vaccine, unless there's a storage or incompatible carrier issue I'm not aware of (immunology is not my field, so this is entirely possible). As an independent consultant, getting sick pulls money out of my pocket, and being down a week due to flu can cost me $5k or more in income. Plus, I don't want any of the exciting long term complications, even if rare, from a bout with Covid. I say stick me with a needle and slap my ass on the way out the door.
Current COVID vaccines are mRNA, which is unstable and needs -80⁰C storage. And while there are protein-based vaccines, mRNA are easier to update. So I think we'll keep getting those while the virus is evolving rapidly.
It's probably more than they don't think of covid as an ongoing thing. Stuff like wearing masks or having lockdowns isn't a thing anymore. A lot of things being done to slow COVID have stopped and people feel like it's over.
That or the shot isn't covered by government programs anymore.
It was always going to be an annual shot like the flu. That annual flu shot is to combat something that was a pandemic as well. We might even get combo shots at some point.