Roe vs. Wade, a decision he presumably disagrees with, stated that the privacy between a doctor and his/her patient should be kept safe from Federal manipulation. If a woman wanted to have an abortion that is between her and her doctor and no one else. Healthcare reform, of almost any stripe, will be more intrusive than anti-abortion laws. Or at least that is the theory. So if the Court said the state can't get between a patient and a doctor in regards to abortion, maybe the state can't get between a patient and his or her medical bill.
Like I say a slippery article, and it kind of depends on Thomas and other conservatives accepting the logic behind Roe v. Wade, which presumably they don't accept.
Americans who believe their government should not be a giant ATM, dispensing money and benefits to people who have not earned them, and who want their country returned to its founding principles, must now exercise that power before it is taken from them. The Tenth Amendment is one place to begin. The streets are another. It worked for the Left.It worked for the left in regards to civil rights; hard to see where else it worked.