This should depend greatly on the factual record.
Surely it should be possible that a company arranges for people to get rides from private persons. Any other ruling from the Court would be dreadful. Whether Uber is really just helping people to find a driver (or a rider), or whether it is really holding itself out as a taxi service is another matter. Similarly, it is possible that Uber could use truly independent contractors; whether Uber's current arrangements with its drivers qualifies as an employment relationship is a separate question.
What we need from the Court is a clear explanation of what will distinguish an information service helping people to find each other from a taxi service. Then the lower court should apply those rules to Uber - and if Uber doesn't like the outcome, it will be free to alter itself so as to stay on the non-a-taxi-company side of the rules, just as it can alter its agreement with its drivers so as to avoid creating an employment relationship.