That tweet is just being imprecise, not contradicting me - they can give it to tourists, just tourists who live somewhere in the US. The state did authorize that. The statewide restriction was NY residents only until the city started pushing the state to allow a broader policy. All of my links are from official state or city sources as well, and those reference webpages and official forms get a lot more attention as to the details than a single admittedly official tweet.
In practice, I doubt an international resident would be refused at many of these sites, as they're no longer asking for proof of residency beyond the attestation on that form, and it would probably be an informal or even formal policy not to turn people away who admit they don't fit within the guidelines. But still, that's just a question of tolerance for going outside the eligibility criteria, not a refutation of the existence of the criteria.
In practice, I doubt an international resident would be refused at many of these sites, as they're no longer asking for proof of residency beyond the attestation on that form, and it would probably be an informal or even formal policy not to turn people away who admit they don't fit within the guidelines. But still, that's just a question of tolerance for going outside the eligibility criteria, not a refutation of the existence of the criteria.