RE: The good arguments have all been presented, I think. You reject them all for various reasons.
I’ve never rejected any of them. My argument has been that there are GOOD ARGUMENTS present by both sides.
Still, the arguments have all been made, ad infinitum. My suggestion for finding the arguments is to read the constitution, what it says about citizenship is just a few sentences, and Rogers v. Bellei, chosen because Bellie and Cruz circumstances of birth and statutory citizenship are approximately "identical".
Most of the arguments, including the one Cruz offers, are nothing but rhetorical games.