THAT is not going to happen. The NY case is much tighter than that, it deals with "shall issue" and other permit-type matters. The SCOTUS is NOT going to go any further than it has to, presuming that it overturns any part of the NY statute/rules.
Texas had a blanket prohibition against carrying handguns for around 100 years, with exceptions for hunting, on personally owned or controlled premises/property, "traveling" (a vague exception that was mostly misunderstood - a discussion for another time), and maybe fishing, too, IIRC. The roots of that statute are also a discussion for another time but the late 19th century had its own problems.
So, enforcement of gun laws was hit or miss, depending on a lot of circumstances, and the people, including the police, were definitely far more gun friendly than the legislature. It took a late 20th century, enlightened legislature to get us concealed carry and then open carry with permits. Actually, it took Florida to get that ball rolling, proving the antis wrong about blood in the streets, etc.
AND, the next wrinkle, allowing concealed handguns in motor vehicles without a permit as an "extension of one's home" was a brilliant addition to the new "liberality" of carrying handguns.
But there is the government bureaucracy and the government legislative bodies and the two are not always in sync. Personally, I never had a problem in dealing with the bureaucracy and the permitting process. YMMV.
And I'll keep my "LTC" (as it is currently called) even after they pass Constitutional carry. Just because it makes it easier to buy guns, if nothing else. Plus the police respect it due to the background check.
I'll never forget that day around ten years ago when I was stopped by an LEO in Plano, Texas, and he refused to see my LTC by saying "I don't need to see that; every car in Plano has a gun in it!".
The big question I have is what will the new law say about private property owners/businesses/buildings/parks/etc., being authorized to prohibit open or concealed gun carrying on their premises. I expect to see a new section of the Penal Code called Section 30.08. Actually, I guarantee it, and here's why:
PENAL CODE CHAPTER 30. BURGLARY AND CRIMINAL TRESPASS
Sections 30.06 and 30.07 are on the books for that purpose in re concealed and open carry. I have no doubt that they'll add 30.08 if Constitutional carry passes.