Swiss are only neutral insofar as being neutral allows them to profit off all sides in a conflict.
knfrmity
As we know, capital co-opts everything, especially criticisms of capital.
Homeopathy went out of favour once germ theory was established. From what I gather it was more or less dormant for a hundred years, then came back with the 1960s/70s counterculture movement and scepticism of modern pharmaceuticals. From then on it was turned into a huge (grift) industry of its own.
Germans also love anthroposophic remedies, which originated from a guy who would have been a Nazi had he only lived a bit longer.
The German health minister finally had the nerve to suggest that health insurance should stop paying for homeopathic remedies (because it's a two hundred year old grift) and people got really upset.
There's a really good essay on Red Sails which discusses this in some detail.
https://redsails.org/masses-elites-and-rebels/
The tldr as well as a short answer to your question is that the propaganda may be seen through, or at least suspected as exaggerated in some way, but it doesn't matter because it matches up with a person's real and perceived material interests.
As (in)famous German internet comedian El Hotzo said, "how I make fun of how so many dumb Americans vote for Trump in a 25% AfD country."
They pretended to not go along with Trump's ideas the first time around, but as soon as everything went back to "normal" (ie. a polite president who doesn't say the quiet parts out loud) they just went back to vassal mode.
The Europeans made some charade of distancing themselves from the US during Trump's first term, but then Biden got elected and everyone just forgot why they were ever critical of vassalization to the US in the first place.
Every accusation is a confession.
BI has a history of praising the various Nazi tactics used in this war.
The ghost of my lai strikes again.
What We Do In the Shadows (2014)
Idk it tickles my brain in a good way. Especially this one, given Musk's history with Dogecoin.
Don't get me wrong I'm not a muskbro I just like funny acronyms and alliterations.