There is no doubt that everybody rolls initiative even those who are surprised.
What I don't agree with is the interpretation which reads, "that hasn’t taken a turn in the combat yet." doesn't include people who have not acted on their turn. If you can not act on your turn, then I say your turn has not been taken, it has in fact been skipped.
Furthermore, at no point do the rules say that a creature is no longer surprised before the next opportunity they have to take a turn. It even specifies that they can not take reactions until their next turn.
From the section on surprise.
"If you’re surprised, you can’t move or take an action on your first turn of the combat, and you can’t take a reaction until that turn ends."
Your first turn is spent not doing anything, but it is very clearly you taking a turn in the combat.
They can take reactions when their very first turn (the one they can't take actions on or move) is over.
Once they can take reactions they are no longer surprised, because they can react to things.
It never says until you take your first actions or similar wording, you have a turn you are just surprised this could be on a very high initiative before any of the other combatants.