If they are operating on a UK CAA ATO approval then the UK CAA will issue the licence. It is not down to the Examiner it is down to the ATO approval.
There are many UK CAA ATO approvals outside of the UK. Our company has such approvals in Spain for example. So if you did your CPL/ME with us then you would be doing it with a UK approved ATO and would be able to apply for a UK licence.