There’s a distinct difference between “I’m Dr. Johnson” and “My name is John and I’m a doctor.”
At least in American English. It’s also very arrogant to introduce yourself as Dr. So and So outside of a professional setting if you’re any kind of doctor.
Not to mention he doubled down and said in Texas he’s a primary care provider that can practice medicine when I pushed back a little. He wasn’t being ambiguous, he saw himself equivalent to a MD.