The salute doesn't look quite as deliberately Nazi as Musk's. Particularly when he throws both hands from his heart, which is definitely not Nazi.
Also, Musk and his father are Nazi-adjacent, to put it mildly, salute notwithstanding.
But yeah, I can see how one might want to apply the same standard to both Musk and Booker here, for the sake of intellectual honesty.
At any rate, Booker really should have known better ☹️