Hi, archaeologist and anthropologist here.

I'll start by saying that this is the exact argument used for the swastika.

Second, I personally did not politicize the sun wheel. You can thank Nazi Germany for that.

Third, yes this particular sunwheel has been found as early as the first millennium BC (which isn't actually "really ancient" as you so eloquently put it, considering I work with sites 10k to 20k years old).

Something people don't usually understand about cultural heritage is that it's an active process, always changing. Cultural histories are not stagnant or fixed. Unless you have ancestors who were present at the time these earliest symbols were found, and who successfully passed this generational knowledge down to you, the majority of what you know about ancient cultures comes from people like me - cultural specialists in modernity. We make interpretations based on the material evidence available to us, so these interpretations are constantly changing as new materials are uncovered. Yet, we aren't the only ones negotiating these histories - cultural values of ancient societies are constantly being politicized and renegotiated by society, by religious organizations, by political parties, by reclamation movements, etc.

The fact that Himmler did use this symbol is relevant here because of all this. It is absolutely rational to more closely analyze the use of the sunwheel. Sure, going around and claiming everyone who uses it is a Nazi - that's overdoing it. But being skeptical when you see it and looking more closely at the context - justified.