Saying they are free market capitalists is misleading and historically wrong.
This complaint is also like saying communists weren’t authentic because the government withheld power from the Soviet’s and used the Soviet narrative to gain popular support.
We compare ideologies on a political spectrum. It’s harder to compare implementations because they all look like corruption. Hitler is one person in a political movement. He did write the platform I linked to though.
They did actually implement many of these things, such as universal healthcare (for their race).
Who said they are free market capitalists?
On Hitler about the Socialist moniker, I posted this earlier today: https://news.ycombinator.com/item?id=43101676