Hriston
Dungeon Master of Middle-earth (He/him)
What is even clearer is the intent of this rule and how it should work. Not some attempt to paint the RAW as the correct or even intended method of adjudicating surprise. It makes absolutely no sense the way you are doing it.
It makes perfect sense to me, but that's fine. You do it in a way that makes sense to you.
Why would a target get to take a turn if he does not know the attacker is there? Explain the fiction behind this, not some reading of the RAW that makes little sense in the context of the situation.
Initiative order does not exist in the fiction. It is a gamist construct that is established at the beginning of an encounter, i.e. before the first round, for the purpose of resolving actions each round. What does exist is that the target is unaware of her attackers, so she doesn't get to take actions or move, but her turn is considered to have happened when her initiative passes.