That's not how it works for existing cases. There is in each country a single agency per section of the law.
For example, if you want play music in a restaurant, you know who to contact. In return you get the right to use all music ever created. No need to figure out who owns what.
Do you think it's reasonable for Y Combinator to be assessed, by twenty-eight national agencies, fees and fines if I--a non-revenue generating user--quote a European publication in a comment?