Yes, you do get it, and the triangle, with Euro Delivery - they are REQUIRED by European law, according to the ED Center people. They also said that if you do not remove the kit from the case, they will remove it and the triangle upon export. The triangle does not meet US DOT specs.
My wife put the first aid kit in her carry on bag. When it got Xrayed at the Munich airport, they told her they had to confiscate her scissors. We had no clue what they were talking about, we are VERY concious about travel protocols, no way we were carrying scissors!! They opened up the sealed first aid kit, and inside were bandage scissors.....