I admit that I too am not quite happy with the Internet being subjected to 'traditional' law and order. I'm old enough to remember a time when the Internet was the playground of only computer scientists and some few nerds, before it was opened to commercial purposes. Before that, law never really applied to the Internet and I sometimes miss the time when it instead was this futuristic, anarchic, cyberspace that nobody but tech heads took serious.
Nowadays we spend a good deal of time every day online, we manage our money through the Internet, almost all communication would be impossible without it. It's become part of the real world.
So while I bristle at the thought that somebody has to delete post on their own servers - that users have to connect to and download information from, just because some weird law about inciting hate limits some certain public speech, it's their own computer! -, I have come to accept that since the Internet has become part of our life, it has to be governed by the same laws that govern our life. We cannot hide behind technical smartassery anymore.
So I don't see this as - put by you - 'cultural marxism'. This law follows the same maxim as the German constitution; human dignity aforefront. There's probably a giant philosophical debate what that implies versus putting free speech aforefront (the U.S. American constitution doesn't do that; it instead required an amendment to get free speech) and I'm pretty sure that just reducing it to 'marxism vs. free market' would simplify things a bit too much.
Have a good day!