"Residency" in a state is a dumb concept to begin with. Why expect a technology startup to form itself in a such a way as to presume that it's meaningful? Isn't the whole point of a (good) technology startup to pose some meaningful critique to society?
No, no more than I deserve a passport from every country I have ever traveled to.
Most US states consider you a resident if you stay more than 90 days. That's when you'd be expected to change your driver's license, car registration, etc.
You seem to be conflating the ideas of birthright and residency. I don't think anybody is arguing you shouldn't be allowed to become an NYC resident if you want to; what they're saying is that visiting doesn't make you a resident.