That's exactly how it works. Just go to any brothel website and go to their rates page. They will all say the same thing: that the girls working there are all independent service providers, and the role of the brothel is only to provide a safe location from which they can provide their service. "Safe" here has a strict meaning based on the sex work legislation. They need to make sure that PPE is readily available in the room (not whether it is used though), for example.
They make their money by charging the girls a room hire fee. Whatever the girl makes minus the room hire fee is hers to keep. It's definitely not the same as a normal employee relationship they have with the girls.

