Not really sure. All of the license application forms I have seen have a space for information about the theoretical exams and they ask under which authority the exams were taken. So perhaps you just need to fill that out and the CAA where you are applying gets the records from the relevant authority.
I was so hoping the information I had received was incorrect. I had researched the process through the UK, Ireland and the Netherlands and they all stated you just need to do an ATPL skills test. I figured they would all be the same and just doing it all in the country where live would save money. If I have to go back and fly a light twin, which I have not flown in 20 years, it will significantly increase the cost. I may apply to transfer my medical records to the UK and then do the skills test and license application there. Bummer...