You have to remember that fascism's application of othering is not logical, it's just a convenient method of gaining leverage. The Nazis targeted Jews because it was easy to weave a narrative about them, and because their population within Germany itself was so small that it was electorally inconsequential to victimise them. You see this with the Musk-Trump regime's position on trans people; trans people are not a threat to anyone, and are so few in number that you can easily weave a narrative about them and use it to push a more extreme agenda.
You are absolutely correct that modern Nazis are not really bothered by the Jews, but you have to remember that fascists just look for easy targets to hate.
Essentially, yeah, fine, he's not a card carrying member of the NSDAP. But he's a hateful individual pursuing a hateful agenda all the same, and he did the salute to signal to edgelords that he sees them.