It wasn't crony capitalism as the DAF was the Nazi party's labor organization. Subsidize means own and operate. The states labor party owned the factory. The Nazis owned the means of production. Hey, did you know DAF also owned and operated one of the largest financial institutions in Germany during Hitlers reign?
https://en.wikipedia.org/wiki/Bank_of_German_Labor,_Inc.
Yes, the National Socialists owned the means of production in many industry. Like their socialist relatives in other parts of the world. It was not a private economy like you claim. Even what was left of the private economy was under the boot of the Nazis. What people conflate are the industrialists that joined the Nazi party and made a lot of money and think it was crony capitalism. I view that differently. They joined the party or they lost their wealth. The state would had confiscated it if they didn't play ball. Or some of them legitimately were Nazi a-holes. Either way they may had owned industry. But they lacked any real control over it.
I suspect if Hitler had achieved his war goals. These industrialists would had gone the way of everybody else. Into a camp or working for the state. They were a necessary evil in his eyes until the goals of the state could be achieved. Luckily we never found out if my opinion would hold true.