> 2) No, it might have been influenced in some way

Again, just to be clear, it's not that "it might have been influenced in some way". It's that Adolf Hitler specifically talked about his reasons for using the swastika in his manifesto.

> Neither symbolic nor visually.

As explained at length elsewhere in this thread, the two symbols are not visually distinguishable without additional context. You can easily find religious uses of a swastika which are literally visually identical to Nazi uses of a swastika.