In the US, neonazis fuck up the symbol so often that it makes no sense to differentiate between the two. I don't even think most neonazis know there's a difference.

I don't think you're going to get rid of that symbolic appropriation either. Once you see a family member murdered by someone carrying a symbol, you're never going to see that symbol the same again. A trauma has been fused to it.

The Hakenkreuz was on the flag, but other swastikas were used too, and they used both orientations of the swastika.

The only thing differentiating between the Hakenkreuz and the swastika does is give Nazis plausible deniability. We can talk about letting it be a symbol of peace again when we don't have fucking Nazis actively using it all the time.

Normally I would play devils advocate and agree with you, but when someone explicitly draws/presents a swastika as a swastika… it’s a swastika.

I think we all know the context this was used in. Not much we can do.