Hi
Im from the UK and English is my first language. My ATPl was issued recently by the CAA. Even so, it does not state in my licence "level 6".
I completed my LPC today and the TRE mentioned this to me and said that it could potentially cause problems if someone decided to be picky. He said he had had the same problem with his licence but a quick call to the CAA resulted in them sending him an official letter stating that he was indeed level 6 and that was sufficient.
So I would suggest that if you already have a similar CAA letter, then it would be enough
Alpha