<It doesn't say an unlimited right.>
Neither does the Affordable Care Act.

<It doesn't say "high quality, affordable, universally accessible".>
That was Donald Trump.

<It doesn't say that the federal government must provide it.>
Catholic teaching (cited in my post to Kevin) identifies access to basic health care as a human right. Governments are organized precisely to protect and advance human rights.

<It doesn't say anything that Obamacare brought.>
The ACA doesn't go far enough, but it was a good-faith beginning. 

In your effort to promote policies rooted in the atheistic materialism if Any Rand (which has been the driving force in Republican/conservative economic and social policy for at least a quarter of a century), you are misrepresenting Catholic teaching and distorting the intention, purpose and effect of the ACA.