Pace v. Alabama rejected equal protection as justification. Perez, then later Loving, are relevant because they overturn that on the basis of due process as well - Perez being the first, Loving being the highest. You can't get Loving on equal protection alone; you certainly can't get Obergefell or Lawrence.
The parent asked why equal protection is not sufficient to protect interracial marriage. I answered. You don't like the answers, either:
a) Make a legal argument. To the extent you agree with this current decision, "it's old" lends it strength. But "it's old" isn't actually a legal argument, despite what the Supreme Court thinks. (That's how you know their purported theories of jurisprudence are bullshit.)
b) Make a real moral argument not rooted in made-up shit like textualism - and admit moral arguments for abortion rather than hiding behind "this is just jurisprudence."