Mornin'
I followed your hint and opened all source .m3u with ListFix and saved them as .m3u8
After that I replaced all .m3u on my mobile by the new generated .m3u8 files and re-read the archive: Heureka, it worked!
The only bad thing: I spent a lot of time for this conversion (~190 playlists); the next time I changed something on MediaMonkey which requires update of playlist, I will try to save as .m3u8 (name) directly from MediaMonkey.
Thanks for your precious comments!