> I'd wager their free healthcare doesn't contribute as much as their free education, ext.
Germany's healthcare system is universal, but not free.
Standard insurance is funded by a combination of employee contributions, employer contributions and government subsidies on a scale determined by income level. Higher income workers sometimes choose to pay a tax and opt out of the standard plan, in favor of 'private' insurance. The latter's premiums are not linked to income level but instead to health status.