“Remember - the Nazis also won the popular vote.”
Actually, no, they didn’t. They achieved only a plurality. Their greatest vote total, in the last election held under Nazi government, was about 44% in March of 1933.
It would be more accurate to say the Nazis rose to power via democracy. In the Weimar Republic, with its multitude of parties, NO party ever won an actual majority.
The 44% won by the Nazis was the largest vote for any party in the history of the WR.