"The student, who identifies as Jewish, stated that he thought placing the swastikas on campus would compel the University to take action in support of the campus Jewish community"
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.