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.