No, my numbers were randomly picked and mean nothing other than one being greater than the other.
My point is that the person growing tomatoes themselves has much more control over the tomatoes than someone who buys them from a shop, even if it costs them more money to buy from the shop.
Me being the shop's only buyer of tomatoes means I have greater control over the shop than if there were 100 buyers, it doesn't mean I have more control over the tomatoes than growing my own. And what we care about is control over healthcare, not control over registered companies related to healthcare (that's just a proxy for control over healthcare - aka tomatoes).
Or imagine these two examples (again, hypothetical):
Government A builds their own hospital and runs it using government employees, their budget is $10M/year.
Government B contracts Company Y to build and run a hospital, they sign a contract saying "we will pay you $20M/year to run it, and no oversight needed - good luck, have fun".
You clearly couldn't call Gov B the one with more control over their hospital, could you? Even though they spent twice as much on it.
Sure, no government signs a contract that simple, I'm not trying to describe a nation's situation, just pointing out that "spending more money" does not equal "having more control".