The nazi party platform demanded:
* Government-provided education
* Government-provided healthcare
* Government-provided old age care
* Government-guaranteed employment
* Nationalization of industry, especially military industry. Profits outlawed and control seized and turned over to the government.
* Nationalization and redistribution of land
* Banning profits from stock ownership, loans, and investments. Calling it "unearned income" is a common left-wing trope; it's used the same way by American liberals to this day
Once elected, the Nazis did briefly privatize a few government operations (mostly banks) to generate cash. However, they nationalized most industries at the same time, and even the companies they let go were firmly under the control of regulators and political cronies. "Privatization", where it occurred at all, was purely pro forma. Even where companies were able to maintain a pretense of independence (mostly small businesses) were placed under the control of local government councils. By the end of the 30's, they abandoned even the pretense of private control.
This was essentially similar to Italian Fascists, who also seized national control of the economy and heavy industry, and also instituted a network of local control councils and price controls.
This demonstrates an interesting difference between the socialists and the fascists. For socialists, *ownership* is the sole criterion for class membership and therefore the only fact of importance in a society. For fascists, who'd replaced class unity with racial unity, *control* is more important, and learning from the Soviet experience with nationalization and worker control, they sought to seize control while leaving a thin patina of independence.
Of course, the only two qualities of a share of stock that matter are that it gives you a vote to elect a board which in turn selects management and sets corporate policy, and it gives you a claim on profits. Socialism eliminates stocks outright. Fascism lets you keep your piece of paper, but removes all meaning from it, because all the control stems from the government and all the profits are returned to the government.
Meanwhile, although the Soviets had experimented with workers voting on managerial decisions, they had abandoned it by this point. As with the fascists, executives and managers were selected by the political apparatus. Subsequent socialist systems have mostly followed the fascist model of gradual subordination rather than direct collectivization.