That's a good question. The Lochner case was about equal protections and due process, as in it the Court annuled a State law that targeted a particular industry (home bakers).
We can guess where Thomas stands on "due process" as used by the moderns; to the progressives it was a dirty word. I wonder how Thomas and Scalia feel about that era. I heard a Ginsberg clerk actually praise Lochner... Strange world, indeed.
I had a law professor that argued the California medicinal marijuana case in 2001. He included an argument encouraging the justices to find an unenumerated privacy right in the Ninth Amendment. He said the only two justices that he perceived as being interested in the argument were Thomas and Stevens. Wierd is right.