Evil Twin,
Well now that we have left the EU my UK ATPL(H) is now not an EASA licence and has reverted to a UK CAA licence. It is, I suppose, possible to apply for an EASA licence directly to one of the EASA states but if the message on the Irish CAA licensing website is any indicator then it might be problematic:
"Holders of UK issued Part-FCL licences may not change their Competent Authority to Ireland since 23:00 Irish Time on 31 December 2020"