As a user of the Robinhood brokerage for all of my "fun investment money" I'm a fan of this. I do wonder how the big banks are going to respond however as this is blatantly a "shots fired" kind of event.
Oddly enough I suspect the result will be lobbying for stricter financial privacy regulations. Almost half of Robinhood's revenue is from selling data.[1] Big banks won't be able to compete on that front and most of the big players don't participate/make enough money on order flow sales that they'd miss it if it were prohibited. So the banks will do what they do best: lobby congress & regulators to legislate & regula…
Every single broker like Robinhood sells order flow to electronic trading firms. This flow is then executed faster due to improved market access. All of that to say that you're probably getting better execution because Robinhood wasn't stupid enough to try to go through some crappy broker or build their own order entry system.
Also, the order data can not be mapped back to you. That simply isn't how the stock market works at all. Every single other broker (Schwab, Merril Lynch, etc) does this.
Source: I work for one of those big market making electronic trading firms, the kind you try to demonize but fail fundamentally to understand.