It is theorizing on my part: because SCOTUS doesn't cite public opinion in their decisions, and their authority would probably be shot if they did.
However, public opinion drives SCOTUS decisions, at the very least, to the extent that public opinion is translated into law via representative democracy. SCOTUS is bound to uphold those laws unless they conflict with the Constitution.
You would be correct to start with Justice Thomas, widely considered the most conservative and definitely most esoteric Supreme Court justice
You seem to be debating in good faith, so I'll hand you some of my own research on this: https://www.supremecourt.gov/opinions/18pdf/18-483_3d9g.pdf
A stemwinder of a Thomas concurrence from an abortion case in 2019 which begins on p. 5. Lot of interesting theorizing in there by Thomas about "eugenic" abortions, that pro-life people could have a field day with, but if you run a quick keyword search for "murder," you won't find it.