Quite the opposite. The eu requires free movement of people and goods and services, so if a German was not allowed to buy, like a French, or Spanish person, that would be against eu rules. The explicitly cannot ban someone form outside their country who is an eu citizen.

Sure, you want to extend it globally, rather than just the eu, but the purpose was to restrict propert to locals. The logical policy if the eu did not exist would be to include the Germans etc you mentioned. The whole purpose of the eu is to increase, not decrease integration, with a view to preventing war by ensuring mutual prosperity.