You'd think so, but you also have to take into account how much the insurance is willing to pay. Most private insurances will pay for 40-60% of the procedure, and the rest is to be written off(which is normally what happens). Most insurances percentage rates are fixed via policy, any lower and the doctor can refuse to provide care for said patient. (Not directly refuse but they can tell them ahead of time they are no longer taking the insurance policy or refer them out to another practice which does. Sometimes patients can be difficult and come to you anyways, that's when you hit them with a bill.)
It's all contract mumbo-jumbo, the lesser the insurance the lesser payout is what it comes down to. Most doctors willing to take state insurances as a pose to private insurances are normally starting out or have a full staff under them and are willing to take what patients they can get to make enough money to keep their practice up and running while paying their employees.(These are your PCPs). Heck, medicaid pays for 14% of procedures the rest is to be written off, not much of a profit margin if you're charging lower rates to begin with.
Since the percentage rate is already fixed, you make more money off the insurance by raising prices. You also take into effect that most doctors(mainly those in practices) are renting the operating room/staff from the hospital and have to pay them a pretty decent chunk of what you're getting to begin with. Some doctors willing to deal with organizations like OSHAA and HIPAA can perform operations in their own practices. That's a huge headache though, maintaining a sterile atmosphere to perform surgery in is damn near impossible, I find it easier to let the hospital handle that for me for a fixed fee.
If this doesn't make any sense feel free to PM me I'd be more than happy to link you some stuff explaining it better than I can. Again, sorry for the sloppiness and for being all over the place, I'm still doing this from my phone.
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