My thought is to have a small first aid book with the first aid kit. Thinking in a situation that you would have use it you wouldn't want to have to run one way to get the FAK then run another to get the book/papers. Unless you keep both together but then you still run the risk of only having one or the other, say you tell your kids/guest to run and get the FAK and don't think to remind them to get the binder.
I keep my binder in my gun safe, for one thing if we are not at home and the house burns down or someone does break in those documents are safe there. Another situation is if we wake up in the middle of the night to a house on fire and have no time to get the binder and have to jump out the window its safe in the safe too. The actual document I created for it is on my phone which stays beside me when slepping so it goes out the window with me.