The reason the “Character Stuck” service doesn’t work is because the character is still technically online. If you login any of your other characters, you can send a whisper to the character that you cannot login to, even characters on the same account.
Blizzard need to log these characters off as they do not appear to be auto-disconnecting after X time. I remember this happening on NA servers awhile back and it was fixed within 7 hours, its an absolute joke why its taking EUCS so long.