Cory Booker didn't do a Nazi salute. https://imgur.com/gallery/JwWQXSJ
https://x.com/stillgray/status/1929070220921942470?ref_src=t...
For the record neither is the "correct" nazi salute.
Also, the gesture is usually interpreted in the context of his increasingly fascist rhetoric, which makes it harder for an outside observer to give him the benefit of the doubt.
However, as you posted the video in defense of Elon and decided to believe the narrative over what you can see with your own eyes, I'm probably wasting my time here.
The real difference between both of them and what the nazis did is that when they moved their hand to their chest first (which they certainly didn't always do), they kept it parallel with the ground.
But, you know, they also didn't say "my heart goes out to you," right after doing it. One could easily argue Cory Booker also has "fascist rhetoric," if you really wanted to go there.