I feel like you’re being deliberately obtuse. You’re right in that by itself trying to define the nazi party of the past in terms of present day left/right ideology is reductivist, and unproductive in discourse. But you’re ignoring two important facts in the present day right/left dynamic. First that literal modern day nazis have shown a distinct preference for right wing ideaology. Second is that fascism as an ideology is a chameleon that latches onto present day conflict to unite people through oppression of a weak other, which is the basis for present day right wing policy. As such the comparison becomes apt because the fascists of the past are a model for the fascists of the present.
I honestly feel sorry for all these rubes, getting so wrought up, throwing their money away at shitty puns being anti-woke when they don’t even know what that means. They have no idea that the people they are supporting with shitty boomer memes are also the same people that are making their lives as shitty as their memes. They don’t see beyond the culture war grandstanding to see that their rights are being stolen one by one. I pity them donating their money at bible salesmen in rich suits promising them righteousness in the form of hate for the other.