Dear Mr Aesir,
your post is too selective, the bit you quote relates to a validation of a third country licence (non EASA) and is not relevant to this discussion. In fact right now Ireland are handling hundreds of transfers from the UK of people who neither live or work in Ireland.
ANNEX III
CONDITIONS FOR THE ACCEPTANCE OF LICENCES ISSUED BY OR ON BEHALF OF THIRD COUNTRIES
A. VALIDATION OF LICENCES
General
1. A pilot licence issued in compliance with the requirements of Annex 1 to the Chicago Convention by a third country may be validated by the competent authority of a Member State.
Pilots shall apply to the competent authority of the Member State where they reside or are established, or, if they are not residing in the territory of the Member States, where the operator for which they are flying or intend to fly has its principal place of business.