>The FSF and the SFLC also seem to disagree with your claim. E.g. there would be no need for the LGPL if your claims were correct.
On the contrary, distribution of GPL/LGPL software requires compliance with the terms of the license. If the license said (for example) you cannot jointly distribute this item with anything that we frown upon, you would have to follow those rules or lose the right to distribute completely.
The issue with derivative works governs only those who distribute independently. If the secondary work is not a derivative work, the producers of the original work have no copyright interest in it. The authors of the secondary work can distribute it however they feel like unless they require a license to the original work. If they do require such a license, the licensors can make them do practically anything - from standing on their heads every morning to providing free technical support.