Hi there!
So, in this case the checkpoints book is actually correct (for once).
When partially sleep deprived, you will do better on complex tasks and worse on simple ones. This is because you identify and recognise what the complex tasks are, and you put in more effort to do them. When you aren't sleep deprived, you put in very little effort into simple tasks, so when you are sleep deprived you also tend to put in very little effort and therefore you do worse on them. For example, someone who is an experienced driver may find driving to be a simple task, however when sleep deprived may do worse on it than, for example knitting, which the person might find difficult normally. This is because they put in little mental and conscious effort into driving, which causes their driving ability to decrease greatly. However, the person would recognise that knitting is a difficult task for them and will therefore put in more mental effort consciously to knit when sleep deprived.
I hope this made sense!