Any medical-field-position that recommends homeopathic stuff is instantly in my "full of shit and not trustworthy on anything" list, and I'd go elsewhere immediately and file complaints anywhere I could. There's no excuse at all, they're either fools or scammers, and I want neither anywhere near my (or anyone else's) health.
That said, while I do see homeopathic stuff with that name, it's worth verifying that it isn't just a naming conflict. They're not always unique, particularly across countries, and Traumeel seems to be more of a brand than a specific thing.
And
> They performed shockwave therapy on my shoulder
(a procedure that may not be effective, but is unlikely to cause any harm)
Its not just about LLM's being better, its about people not trusting DR any more: https://www.physiciansweekly.com/post/the-erosion-of-trust-i...
If we want to fault the article for anything it's that he didnt take that information and go get a 2nd opinion from someone who IS more informed.