So basically what you do in area counting is separately counting the territory and the stones, and then add the numbers.
That's opposed to the territory counting, where you first fill in the prisoners and then count the territory.

I don't see where these supposed error sources should come from in territory counting.

Filling in the prisoners is a mechanical step with little chance of making mistake, and the method for the respective "count the territory" steps is exactly the same. But counting the stones is an additional source of errors. So if anything, area counting would be more prone to making mistakes.

One point in favor of area counting is that *both* players count one color, as opposed to each player rearranging a separate color for counting. Perhaps this makes it more difficult to deliberately cheat?

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