They're claiming this changed in 1946. Nope. God's Word doesn't change.
It was a sin then and it's a sin today and it will be a sin tomorrow.
And note, I focused on their verses in question. IMHO, the main tell is Romans 1, beginning with verse 16. It looks so much like modern society where we've gone from denying God's existence, to lewd heterosexual behavior, to now homosexual behavior. And if you keep reading you'll see that it doesn't stop there.
We have to win the argument first and foremost with the existence of God. Because we let worldly people "win" that argument in the public, we've opened the door for the other sins.