There are quite a few exceptions to your statement 8che.
When I converted my JAA ATPL (initially awarded before English competency formally required) to EASA ATPL I was exempted the level 6 check because of my military background but my colleague going through the exact same process had to find an examiner at v short notice in Aviation House to conduct a (level 6) English test. And my colleague is a BRIT, TRE in a non EASA country and can award level 4/5/6 English to trainees.
There are a lot of poorly thought out/not thought out at all loose ends in the entire transition process imho.