Just because a woman and her body is involved for attention and payment, anybody getting any payment and involvement is called a pimp?
Where's the coercion, destruction, trafficking? Where are the people that really do lack agency and autonomy?
There should be two different words, one for the destructive thing that's regulated or sanctioned in physical sex for money activities, one for benign management.
What makes sex work special compared to say, pilots, police, electricians, miners, fishermen, divers, construction workers and many many others who also need to balance their choice against a very real risk of long-term negative consequences?
I know of some naive people, I know of some cunning people, I know of some extremely high functioning people that have a business plan, I know of some extremely goofy people that don't know what to do with all the money they make, I know of many people with paltry earnings. Many people have multiple of these attributes at once.
I don't think brothel terms are really accurate or necessary. You are mapping due to some overlap of erotica and women. There are so many other intermediaries that can be applied to these terms better, such as the businesses that let people rent rooms to record in, with better lighting and setup than they have at home. But even then, we should use a more applicable word, as they are not brothels with madams or pimps, no matter whether they have great collaborate management, or management issues.