Independent contractor without a contract? That's an oxymoron. That being said:
It depends on the structure of the business and the people involved, but it's a perfect formula for going to litigation. And the winner is: The lawyers.
The outcome will depend on any relevant prior legal decisions in the state.
If the person is renting space, reason would lean towards the practitioner. If they get paid by commission, it leans towards the business owner. Other tests may be the amount each one expends on actively marketing the business and the lead source for new clients.
I'm in California, there's no issues about it, but I was just curious what the answer would be if the situation was independent contractor. Which of course, an IC does most if not all of their own marketing. The thought struck me this morning, so again, there's no concern except a mild curiosity on my part about it.