In this case the subject was a minor. Implied consent is pretty shaky especially when the contract is unenforceable. The EMT is not in a position to place his own orders for work and expect others to pay his bill. What if a housepainter decided your house needed painting, painted it and sent you a bill?
I may have misspoke before I read the horribly written article. I thought perhaps the lifeguard was on duty at a municipal beach being paid by tax dollars. I also made the assumption the EMTs in that county are also paid by tax dollars. That’s why I made the initial police analogy.