> and also charge the doctors to use this screening process.

Why would a doctor pay another service to order labs for them?

Sadly there are a lot of clinics popping up to serve the internet self-diagnosers, but not in the way you're talking about. They're built around a single enterprising doctor who either believes the disease is undetectable by normal tests, or who is aware that they're stringing patients along but likes the money. If someone opens a specialty clinic for an internet-popular disorder, they have a perpetual line of patients who will gladly pay for a doctor to tell them what they want to hear.