This is generally covered in school because Nazi history is a rather depressing topic for Germans. Doesn't really stop the documentary channels but those don't have high exposure (Football and News have high exposure. European Football that is.)
It sounds to me a lot like the topic of slavery in the USA. It's a historical fact, and everyone learns about it in school, but it's not a popular topic in the culture. I'd wager few people in the USA are familiar with the names of the companies that were complicit in it, though undoubtedly some still exist.
I dont think talking about the nazi regime is a depressing topic anymore in Germany and it hasnt been for a long time. It paved the way for people to define themselves as not just as the descendants of the German empire but people unwilling to be quite about their forefathers misdeeds. It empowered a lot of people to disregard the excuse for horrible deeds as people "just doing their job". It empowered the point of view, that the government can be wrong and should be opposed if so.
Between the Gestapo and the Stasi, the German executive has to lobby hard for support outside of their state employed peers to be viewed as a force tasked with their job by democratic mandate. As little as that is the case in reality, it still is a great development historically. Just the part alone, that soldiers are meant to be citizens in uniforms has done a lot to root out any possibility of the military having a say in politics.
Just to point it out, I dont think that shift happened with the end of the war or shortly after, quite the contrary. It is sadly clear, that warcriminals were protected by large parts of society. The change happend two decades later, when people were willing to speak up about their parents beeing mass murderer who got away.
