It is becoming more and more of a challenge to find what we are actually talking about with the Louisiana Law, but I think this is it..
http://www.legis.la.gov/legis/ViewDocument.aspx?d=907056&n=HB388 Enrolled
I want to say this is the 5th circuit decision...
https://law.justia.com/cases/federal/appellate-courts/ca5/17-30397/17-30397-2018-09-26.html
And I believe this is the 5-4 decent by Kavanaugh from the stay order we are talking about...
https://www.supremecourt.gov/opinions/18pdf/18a774_3ebh.pdf
That was painful to find all that ****, but it boils down to the Texas anti-abortion model which targeted abortion providers by regulating what hospital by distance they had to have surgical admitting privileges at under the guise of "women's health." In this case the regulation being challenged is "Have active admitting privileges at a hospital that is located not further than thirty miles from the location at which the abortion is performed or induced and that provides obstetrical or gynecological health care services." By definition that would reduce abortion providers from 3 or 4 to what the challengers say would be 1.
Abortion being a disaster of a political and legal issue already makes Louisiana (and Texas, and others) attempts to regulate along these lines a bit of a mess.
This example from Louisiana and the challenges against it all boil down to predictions on impact, Kavanaugh was right on that part even if by accident. The 5-4 decision itself by the Supreme Court may be accidentally correct as well because the courts already struck down Texas' attempt to do this with very similar wording. Yet the 5th Circuit decision allowed Louisiana go forward, and what is still in front of the Supreme Court is the actual appeal that seeks to review that 5th Circuit ruling. That is bound to be messy and I suppose all eyes will be on Roberts again.
I still believe this will end up much like other controversial prior decisions (or even things like the 2nd Amendment) where we will see continued State efforts to chip away at something prior decided by regulating additional challenging conditions. In this case making it more difficult without entirely taking away the means to obtain an abortion. Conservative leaning states have been doing this for awhile now and so have liberal leaning states with the 2nd Amendment. The chip away effort.
Because of how polarizing abortion is, the issue is ran on and ultimately you see the effort to make this difficult for providers and those seeking abortions.
If memory serves the Texas attempt was struck down 5-3 (seat open,) and I suspect we will see another 5-4 decision on the merit of the Louisiana Law placing greater pressure on Republicans to nominate and confirm further right leaning justices in the future. Or said another way, continue to engage in Judicial activism going forward as much as we've seen going back into history.
In the balance will be what you think it is, the debate rages on...