IANAL. But reading the "Urteil", it seems that it is rather technical in nature. In particular, someone uploaded a video. YT said that it violated its COVID-19 guidelines and removed it. Plaintiff said, listen, we had a contract, you can't just delete my stuff. YT said, well, the movie contravenes the current COVID-19 guidelines. Plaintiff said, well, but it doesn't contravene the guidelines you had at the time we made the contract. YT says, fair enough, but we changed the guidelines. Court says, you can't just unilaterally change the ToS unless you make a new contract. YT said, well, we said we could change the guidelines. Court says, yeah, but just saying that the guidelines might change does not give you the right to change the guidelines unilaterally unless you say in the ToS not only that you might change the ToS but that you reserve the right to unilaterally change the ToS and then notify the user of the changed ToS and then have the user agree to the new ToS (either explicitly or implicitly by continuing to use the service). Thus, old ToS apply. So, don't remove the video that was in line with old guidelines.
TLDR:
- YT has to pay a fine because the court says, look, there was a contract, stick to it, and they didn't stick to it.
- This has nothing to do with COVID-19, or free speech. It's purely contract law.
- My prediction: YT will change its ToS and include the pertinent clauses, we'll all agree to the new ones, and then they'll be able to delete anything they want anytime they want (in accordance with their new ToS).