The EU has jurisdiction over EU citizens, even those outside of the EU (see US citizens and taxes). But I question how the EU would have jurisdiction on anyone

The EU has jurisdiction over EU citizens, even those outside of the EU (see US citizens and taxes). But I question how the EU would have jurisdiction on anyone who is outside of the EU and does all their business outside of the EU, even with EU citizens. The EU can prohibit EU citizens from visiting websites that violate the law if they want. They can also block EU residents from visiting those sites.