GitHub Webooks and status reporting in freestyle jobs

Greetings. I opened an issue about GitHub Webooks and status reporting in freestyle jobs. Maybe I’m just doing something wrong or you know more than I? In Oranization Folders, reporting works just fine on the same instance.

This excerpt from the system logs

org.kohsuke.github.HttpException: {
  "message": "Bad credentials",
  "documentation_url": "https://docs.github.com/rest",
  "status": "401"
}

makes me think that it’s a credential problem. Some other issues on GitHub claim that I need to configure my GitHub Server in the System Setting of Jenkins. I cannot check that that, because cannot use username+passoword or personal access tokens and that’s the only thing supported their - doesn’t seem to accept GitHub App credentials. I tried out configuring GitHub Enterprise Server configured, though - that doesn’t demand a credential but didn’t help.