Last time I checked, rent controlled apartments make up ~1% of housing units in the city, and that number decreases all the time (because the supply of rent controlled apartments is constantly decreasing). So, I think I'd need to see a citation that rent control has any serious effects on NYC housing prices.
I'm not saying that 1% couldn't have larger effects, but given the small amount of rent-controlled units I think the burden of proof is on you here.
> Rural NY to Rural TX, I will bet anytime that Rural TX is cheaper especially in the Rio Grande Valley and West Texas.
Why? I think you have a very different picture in mind of what rural NY looks like. There are a ton of extremely poor towns and cities up near Rochester and Buffalo. Lots and lots of rust belt remnants in the western part of the state that haven't recovered: https://en.wikipedia.org/wiki/Rust_Belt#/media/File:Total_mf...
Maybe it's $50 for a 1 bedroom in west Texas vs. $60 for a 1 bedroom on the outskirts of Hammond NY, but I don't think that's a very meaningful difference.