I don’t think so. Context matters in this case, too. The swastika was a unique symbol in the west, the Nazis had it completely for themselves. If they had used

I don’t think so. Context matters in this case, too. The swastika was a unique symbol in the west, the Nazis had it completely for themselves. If they had used a cross they would be just another of the many, many organizations in the west using a cross as their symbol. (Christians in general, KKK, Red Cross, …) They would never be able to claim complete ownership of the symbol. They wouldn’t be able to define or redefine the symbol, they would just add another entry in the dictionary under “Cross”.