The link you just provided is from a libertarian commentator who openly admits they are not a historian and as a libertarian has a clear bias against socialism, the one I posted is from a historian.
The Nazis modelled themselves on Italian fascists, they allied themselves with Spanish fascists (supporting them financially and militarily), they followed the main aims of fascism.
1. Saw themselves as racially/nationally superior, 2. Wanted rearmament & expansion, 3. Consolidated capital.
Yes they did bring a number of industries into public ownership, only to immediately turn them into corporate cartels allowing friends of the party to make vast fortunes (so not Socialist at all), the arrested, imprisoned and executed those on the left, including union members (which they then banned).
Oh and take a guess which totally non-socialist is the only American to get a positive mention in Mein Kampf (here’s a hint, he hated unions as well)?
Oh and under Hitler working conditions fell for workers, with lower pay, longer hours and more dangerous working environments.
It’s a right wing fantasy that the Nazis were Socialists, one that does stand up to analysis.