logic does not work that way!!!

Currently dealing with textbooks that used to say this:

List several features of dogs.
(Answer: they are fluffy, and often pets)

But now, being adapted for an activity, the author has decided to turn it into a true/false question, like this:

True or false: Dogs are fluffy, and often pets.
(Answer: true)

Which... okay.

But then, having done this twenty-odd times in a row, the author has realised that there's a few too many "true" questions, and has decided to make some of them "false". So, they've thought long and hard about how to turn a true statement into a false one, and have finally realised "Aha! Word substitution!"

Which led to things like this:

True or false: Cats are fluffy, and often pets.
(Answer: false)

I keep going through and finding lots of statements they've labelled as false that aren't actually false, and I just... *destroys things*