They have a huge amount of independence now, compared to how Uber (and Lyft) originally operated.
But this will also depend on the location.
In California for instance, drivers got a lot more independence since they were sued them for treating their drivers too much like employees (and not like contractors), so in California, the drivers have a lot more freedom. But in places like Texas, drivers are still being micromanaged by the app. It's a different experience.
Also, the app has a ranking of drivers, and the platinum and diamond drivers have a lot more freedom and information than the blue, pro, and gold drivers. So keep that in mind when you're talking to actual drivers. Not all drivers get the same user experience.
In addition, I wouldn't be surprised if drivers have a better user experience with Uber in the cities where Empower operates. After all, when you have a large company and network effect in your favor, you can use your scale to squash any small new operators trying to get started in those cities. So my bet is that the drivers are getting a better user experience and better pay in those cities Empower operates. And my bet is that Uber customers are also getting better deals as well. Then once Empower disappears, then they'll squeeze both the drivers and the customers as much as possible.