I think it's the EEA (European Economic Area; EU plus Iceland, Liechtenstein and Norway), i.e. the European driving license covers a couple of more countries. Other than that I agree with you.
snip Surely, with the all new driving license, if you are allowed to drive it, it shouldn't matter where within the EEA (apart from perhaps some differences for some classes, such as age), one would think? But yes, they did a change in January 2013; for example, a Swedish "B" (car license) from before that date covers all trikes from the age of 18; now it's from the age of 21 if more than 15 kW, and then only in Sweden. It is possible all these changes make it easier on an aggregated European level, but it was far easier some decades ago on the national level.