It's far worse than this.
When striking down vaccine mandates, they cited to Mitchell v. Wisconsin, notably:
Note this cite is from 1891.
Now when it comes to women's bodily autonomy, Alito now argues that abortion rights aren't rooted in history and tradition (note this isn't a legal precedence, it's just his opinion). I guess 1891 isn't historical enough. Aside from Roe itself, Dobbs is bereft of citing any legal precedence. It' invented from whole cloth, nothing more.
Now the talking point is "just pass a bill". H.R. 3755 was brought to the Senate floor just last month, and was filibustered by all Republicans and Joe Manchin. So that's that.