I think the Supreme Court decided it does, see below.
Thank you, I didn't know this case. I do read US Supreme Court decisions every now and then, but mostly out of interest.
One thing I noticed when they overturned Roe v Wade is that they said there was no right to abortion based on the right of privacy in the Constitution, but that there was also no historical basis for it. It would appear that they will not be able to make that argument, as there was extensive historical analysis in Engel v Vitale. I particularly like the quote that is on Wikipedia: "It is a matter of history that this practice of establishing governmentally composed prayers for religious services was one of the reasons which caused many of our early colonists to leave England and seek religious freedom in America.".
It's going to be pretty hard to come back on that.