I do not intend this to be disrespectful but does Judaism believe that God requires such aids (prayer books and prayer sheets) for the prayer to be efficacious? In my culture (Mormon) a prayer (of the mind) may be sent heavenward with no outer evidence of the prayer. It is utterly impossible to prevent the faithful from praying at any time, in any place, under any condition.
I suppose there are some people who could pray the entire service by heart, but most prefer to use a siddur (prayer book).
Judaism does not encourage either rote memorization or making up prayers spontaneously. The prayer book is preferred as a focus of concentration.