You really think neo-Nazis are picky about which way the swastika is rotating?
In any case, they frequently choose innocuous symbols so that they can dog-whistle to their supporters while maintain plausible deniability about the symbol being white supremacist in the first place. So yeah, Cizr would absolutely flip the symbol if it helped his paper-thin cover story of being a Slavic pagan.
The fact gullible people like you buy into his bullshit and mount a defence for him is exactly the kind of thing he wants, it's why he chose that symbol. This is what's called a "useful idiot".
https://en.wikipedia.org/wiki/Useful_idiot