The 69% figure is out of “eligible” people according to the report. As children aren’t eligible, I’d think they aren’t included in the denominator.

Your hypothesis about anti-vaxxers being hesitant to go test is definitely promising, but having a hypothesis alone isn’t enough, this kind of stuff needs to be looked into and not ignored/labeled conspiracy theories as it so often does.

Edit: just realized that even if the 69% was out of the entire population, that would still imply (on the surface) that being vaccinated is worse than not, since COVID doesn’t discriminate about who it spreads to which makes the whole population eligible to get it.