Please stop confusing the buddhist swastika with the N*zi cross, you're just spreading a harmful view of this religion symbol that almost got banned once somewhere in the EU.
The rotation isn't actually a required part. Anyone trying to tell you otherwise is, quite frankly, probably a gaslighting Nazi.
You'll find it on various military vehicles in the 90-degree orientation quite a lot. Propaganda use typically has the tilt but, again, not having the tilt doesn't mean it's not Nazi shit.
The symbol was also used well beyond India. They actually co-opted the symbol after its popularity in Europe grew from the discovery of Troy: