Not according to the information regarding the ban released by the EU Commision, as found at the following link:
European Commission - PRESS RELEASES - Press release - New rules for captive bird imports to protect animal health in the EU and improve the welfare of imported birds
To quote the most pertinent section of the above-linked report:
The use of the term "only birds bred in captivity" is pretty cut and dried, I feel.
The only reference to tighter quarantine facilities which Jana mentioned pertains specifically to captive-bred individuals, as follows:
Having trouble finding the full text of the regulation, but as the above is an official publication by the EU Commission it is surely accurate and does not misinterpret the scope of the regulation?
it is REGULATION (EU) No 139/2013
Article 2
Scope
This Regulation shall apply to animals of the avian species.
However, it shall not apply to:
(a) poultry;
(b) birds imported for conservation programmes approved by the competent authority in the Member State of destination;
(c) pet animals referred to in the third paragraph of Article 1 of Directive 92/65/EEC, accompanying their owner;
(d) birds intended for zoos, circuses, amusement parks or experiments;
(e) birds destined for bodies, institutes or centres approved according to Article 13 of Directive 92/65/EEC;
(f) racing pigeons which are introduced to the territory of the Union from a neighbouring third country where they are normally resident and then immediately released with the expectation that they will fly back to that third country;
(g) birds imported from Andorra, Liechtenstein, Monaco, Norway, San Marino, Switzerland, and the Vatican City State.