I have never heard of an insurance policy in the US that allows you to consume as much, and whatever type of healthcare that you want. Quite the opposite is most people's experience. You have to justify any visit to a specialist before going, you don't get to choose the specialist, many times the insurer will simply deny a payment request for care already received. On many plans, you have to spend 5 figures per year before they will even cover anything.
I would love to have had healthcare in America where I was insulated fully from the costs of care. My experience was that it was rare to see a doctor where I wouldn't end p paying at least three figures despite having fantastic insurance.
Meanwhile in Canada, I can recklessly visit three doctors per day for the same issue at no out of pocket cost if I want, and it will still cost my insurer (the province of BC, in my case) less than a single doctor visit 60 miles south of here.
From where I sit, the US, which has an unusually high exposure to the real costs of healthcare among peer states, also has the highest cost of healthcare. That sort of goes directly against what you are saying