Assume for a second you have perfect recall, but you can choose to forget.
Now, what is faster?
Read the book remembering it all, then recall from memory as you need information.
Don't read the book. When you need some information, skim the book, looking only for the small piece of information you need and forgetting the rest. When you need more information, skim the book again, but you don't even know where in the book the information is, since you remember none of it, so every time you need to start reading the book from the beginning.
Obviously, #1 is way, WAY faster. Sure it requires your brain to be able to remember it all, but performance-wise, there is no comparison at all.
Exception: If you only ever need one piece of information, #2 will be faster, since you can stop reading as soon as you find the information you need, i.e. you don't have to read the whole book.