How long would it take for a substance to cool from its maximum value to its minimum value? Exactly the time it takes to cool from its maximum value to its minimum value and assuming the moon’s surface heats and cools approximately symmetrically this will be half a moon day.
Has the second point actually said anything? Not really. This second point says nothing about the initial rate of cooling after the sun “goes down” which is more than likely similar to that quoted by the skeptical science blog. This would be greater than the extremely slow rate towards the end of the cooling period.
The writer then works out a meaningless average rate of cooling which to no surprise ends up less than the average rate of cooling on Earth..simply because the Earth has shorter days.