I think the parent is objecting to the use of the word "insurance". By definition, insurance is a form of risk management, to protect yourself against unexpected cost or loss. You can't be "insured" for regular wellness checkups and screenings; that word just doesn't make sense there, as those are expected, regular costs. Coverage for that is more like a "health plan", which is, in reality, what we have, despite the industry's insistence on calling it insurance.
(But yes, admittedly, this is just pedantry.)