Technically, the EU cannot decide on foreign travel for its member states. It can only recommend. The recommended list was negotiated between member states be

Technically, the EU cannot decide on foreign travel for its member states. It can only recommend. The recommended list was negotiated between member states beforehand, so it would not end up having different travel restrictions from beyond the EU within EU member states. That being said, some EU member states have already announced they are barring travel differently based on the list. For instance, Hungary has said they will only allow travel from Serbia from outside the EU/Schengen. But someone from Canada could travel to Austria and enter Hungary that way.