They do different jobs
The clinic brand handles everything about the place: where it is, what it offers, the hours, the equipment, the prices, the parking. It has to work for every clinician inside it, which is exactly why it cannot answer the question a patient is really asking, which is whether *this* doctor is the right one.
Your layer answers that: how you assess, what you refuse to do, how you handle the part patients fear, and what a first appointment with you is like. The two do not compete for attention — they answer different questions at different moments.
Selling products or courses alongside the clinic?
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Who owns what — settle it in writing
Before the first shoot, agree four things on paper: who owns the accounts, who owns the raw footage filmed on the premises, who holds admin access to the ad account and pixel, and what happens to all of it if you leave. Ten minutes of awkwardness now prevents the most common and most bitter dispute in this whole area.
The reasonable settlement is usually simple: the clinic owns clinic-branded assets and the ad account, you own your own handle, your own page and any footage of you speaking. Both sides keep what carries their name.
If you own the clinic, build both deliberately
Owners have the opposite problem: a brand tied entirely to the founder's face is hard to sell and hard to staff, because the value walks out with the person. If you might ever bring in associates or exit, put associates on camera early and give the clinic a claim of its own that does not depend on you.
The doctors who get this wrong discover it late — at the point of sale, when a buyer prices in the risk that the patients were loyal to a person who is now leaving.