You do not own the first page for your own name
Search a physician's name and the practice site is rarely first. Healthgrades, Vitals, WebMD, Zocdoc, US News, and a payer directory all rank above it, most carrying stale credentials, a wrong address, and a rating built from four reviews left in 2019.
Those profiles were never claimed because nobody in the practice knew they existed. Meanwhile the referral you worked ten years to earn goes to whoever looked better on that page.
Claiming and correcting them is a weekend of work that most practices never do, and it books more patients than any ad campaign we could run for the same money.
Specialists are marketing to two audiences with one website
A specialty practice needs patients and it needs referring physicians, and those two visitors want opposite things. The patient wants plain language about what hurts and how fast you can be seen. The referring PCP wants your fax number, your referral form, and how quickly you send a consult note back.
One homepage cannot serve both. The practices that grow build a separate referring provider section with a real form and a stated turnaround, and treat the patient side as a local search problem.
Nobody measures the referral side, which is why it stays broken. A tracked number on the referral page tells you within a month which referring offices use it.