Well we agree on one thing: Trump is not a laissez faire capitalist.
WOW! You are pulling an internet link from a defunct popular news magazine to back your argument. Pathetic. Have you ever read any real books on history or political science (even cheesy college introduction course texts)?
You are making the classic mistake of not listening to an opposing argument, but are instead, making more talking points.
Directly: The Nazis tried to eliminate the war reparations of the Treaty of Versailles by simply printing more money. The result was hyperinflation. To stabilize the economy they incited wage and price controls in 1936. Additionally, the extra quickly printed money was used to pay for public works programs, subsidies, and rearmament. Again, wage and price controls were set to carry out the government programs under the conditions the Nazis required. Next, rationing was instituted in an attempt regulate the distortions to the normal price system.
Yes, individuals, with political connections, still owned factories, but what they produced, how much they produced, what price they sold it for, and what profit they made was determined by the National Socialist Germans Worker's Party government laws and regulations, the Nazi German government. Things only got worse during the war years. Nazis practiced direct government control of the economy -- socialism. If you want to argue that private companies still existed, I would counter that you are making a distinction without a difference. The government had full legal control of all major aspects to the businesses.
Fascism (the model Hitler followed) was called "The Third Way" at the time. It was seen as anti-capitalistic, but avoiding the direct ownership and control of pure socialism/communism. President FDR originally admired fascistic economics until he saw the violent excesses, and turned to less obtrusive economic means.
Nazis were as capitalist as Uber drivers. The drivers own their car. They are not employees. But they do not determine their rates.
During the Wiemar Republic, both Communist and Nazis had violent episodes in the streets. One faction was socialism on class lines and the other nationalistic. The strongest democratic/capitalistic political figures of Hindenburg and Papen, did not get involved in the gutter violence of the two populous socialist parties. When Hitler was allowed formally into the German government in hopes of controlling his excesses, all was lost.