An away side scoring that early changes the match immediately.
That matters because it strips the home side of their preferred rhythm. Instead of building into the contest, Kilmarnock have been chasing it, while Celtic have been able to play with momentum and confidence.
For Hogh, this is more than just one productive spell. A first goal for a new club can settle a striker; a first-half hat-trick can transform the conversation around him in an instant.
Even without stretching for bigger conclusions, a striker who scores early and keeps finding space in the same half is usually reading the game faster than the defenders around him. That appears to be the story here.
The challenge for Celtic now is simple: treat the second half like the score is still tight. Big leads can invite sloppiness if the tempo drops, and Kilmarnock will still look for any opening that changes the feel of the contest.
The next phase is clear. Can Hogh add even more, and can Celtic turn a blistering first half into a fully controlled afternoon? With the game still live, that is the thread to watch from here.