Just few decades ago you'd be referred for lobotomy in the US if you had... "unrest" I suppose. Or how about getting a red hot rod in the ear? Official cure for headache. But suddenly, here and now, we know everything, and nothing of anything we believe can possibly be false. It's always the same fallacy.
One has to be skeptical of everything, unless there are hard facts. Unfortunately psychotherapy is not hard science, by which I mean most of it doesn't lay in discovery following the scientific method in a rigorous, reproducible way.
In fact, the biggest component of the so called "replication crisis" comes from social studies, psychotherapy and psychology. It's full of papers proving "whatever" about human behavior.
That's not true. Homeopathy in Germany is not part of official coverage. There are some select healthcare providers that refund some homeopathy costs, up to a few hundred euros annually, but the overwhelming majority does not even do that.
https://www.iamexpat.de/expat-info/german-expat-news/german-...
https://undark.org/2020/03/16/homeopathy-globuli-germany/
https://www.dw.com/en/german-health-insurers-urged-to-end-ho...
So no, I don't think this is a good comparison at all.