Healthcare can’t be left to the free market. Simply because the demand part of the market isn’t free.
My country screens like 10% of total (mostly) boob-havers per year for free (the number would heve been higher if more ppl decided to get tested). So basically everyone is invited, with mobile test units (just big containers/trucks) roaming around the country for the elderly, or for a bit more remote villages, or just to spread awareness & make someone get screened out of convenience.