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#21
The heat spreader does exactly what the name implies: it spreads the heat over a larger surface area for maximum dissipation.
The engineers spend time calculating the size of the spreader.
You are right that the compound doesn't need to go to the edges of the heat spreader. But.... it does need to cover the entire surface of the heat sink base on the cooler in order to maximize the conductivity.
I'm kinda disappointed that many of the current coolers that say they are for the Socket 1700 processors have heat sink bases that are smaller than that 13700K IHS. Although I was not looking at any of the monster coolers. Maybe they do.