Many thanks to those of you who weighed in - I was pretty much at the same place, I just wanted to make sure I wasn't off in left field!
To recap, the pattern is this:
To avoid any potentially uncomfortable situations, I will be replacing the not-actually-a-swastika with something else. (A concession I'm totally OK with, but it grates me to no end that a perfectly fine (and ancient!) geometric pattern has been absconded with and made to have extremely negative connotations.)
I'm kind of liking the second alternate. What do you all think?