I think in most states the baby steps and one-to-one outreach will add up. Frankly, I hope insurance companies are calling people and telling them that (with some exceptions for people that do have valid underlying issues like MS and Lupus and maybe can't get vaccinated) "please come get it. And if you don't and you do come down with it and are hospitalized you're not covered."
It's so unfortunate but rural areas that are lagging are going to get pounded come the fall and winter. Even in these states that are embarrassingly lagging at this point the dichotomy can be pretty steep. Take TN for example. Davidson County where Nashville metro is has 48%+ of adults with 1+ shot. Not where they need to be but not awful. Yet the state of TN overall is at about 39%. So many of their smaller counties are in the teens or twenties.
I'm hopeful that approval for somewhat younger ages can come before September and the new school year. Even if just 10 and 11 year-olds. Our kids (16 and 12) have received theirs thankfully. Schools should rightfully mandate that unvaccinated students be masked. 95% of teachers and school employees in our district have been vaccinated.
A good friend of mine that's a research scientist at a leading university and pretty heavily involved in COVID therapeutics development told me this when the CDC lowered the bar on mask mandates. "They know what they're doing, They've run the numbers and know what this will mean. They're letting people self-sacrifice and have thousands more die. And they're basically throwing up their hands and saying 'we're done coddling you, the way out is readily available, you're on your own now.'"