The problem though is that people are effectively made to work for free if the government can order any organization to publish their private information. But

The problem though is that people are effectively made to work for free if the government can order any organization to publish their private information. But they're not doing that work for "free". They're doing in exchange for the privilege of being able to run a large-scale business on one of the most highly-trafficked street grids on the planet. Which in turn certainly doesn't exactly come for "free" (and in fact costs many billions of dollars per year to run, involving thousands and thousands of people who certainly don't work for fee either), now does it. So Uber says they don't want to pay for that privilege? That they'd rather not have to comply with regulations (like every other business operator in any other damn category you can think of) because they're... special? That's fine, of course -- they just don't have to do business in NYC, then.