I get where you're coming from, but you could say the same thing about software purchased on any app store, your mobile phone and a bunch of other things.

Yes, yes you can.

Not sure where you live but in most big cities you already have the choice between some Californian company, at least one European company and sometimes Chinese (or chinese backed) companies. Someone will get your data but you can choose who that'll be.

Creating an app like uber is cheap enough that competitors will pop up whenever uber feels like making money.