Beyond that there is no difference.
“Social Conservative” = Liberal who doesn’t like abortion. Beyond that, there is no difference.
Two can play at these infantile games. The statement may be true and may be false, depending on the individual. As a generality, it’s false, as is your “premise.”
There are massive numbers of conservative libertarians who are FAR more conservative than many self-styled “conservatives” on things like Socialist Security and Fraudicade. As soon as more Republicans figure that out, the sooner they’ll stop stabbing themselves in the neck.