I'm sure there's a few drivers really want to stay independent, but have you considered that the majority only "want tob stay independent" because the current situation? That doing this full time won't be enough income to feed the family, so they want to stay independent in order to have another job? If doing this full time is enough income, maybe they no longer need to be independent?
My impression is that Uber fulfills a niche for drivers who want a certain tradeoff between flexibility and job security. There are people who fit into that niche and people who don't, but forcing the company to change its value proposition is going to make some people start or stop driving for Uber depending on how well the new contract suits them. This could be a net economic win or loss, but we don't know the numbers.
In the long run, if there are enough drivers who value the flexible arrangement that Uber provides, then either another company will fill that niche or these people will find similar work elsewhere.