There is a mistake in the report: It ignores 4-night camping trips. According to the FAQ #8 three of those nights should count as short-term camping. Right now it doesn’t count them as long- or short-term nights. Thanks for letting me know about this. 
However, scouts are not allowed to use long-term camps as short-term camps. The FAQ #8 that you quoted is saying that camps 4 nights long, which cannot count as long-term camps, can be counted as short-term camps (but only 3 nights can be counted).
FAQ #5 clarifies that if a scout attends multiple long-term camps they can use one of them to meet the 5-night requirement, but neither can apply to the short-term camping requirement.
For a Scout who attends summer camp and a jamboree in the same year, five nights of the time at summer camp or at the jamboree (but not both) can be used towards the camping requirement. Ten more nights of short-term camp would also be required to meet the camping requirement.
– Guide to Unit Elections, April 2017 revision