Shack,
There is no reason why a F700 cannot be taken airborne in its aircraft. Every page in the F700, with one exception, has supporting and validating entries in other documents held on the ground. Although there might be original signatures in the F700, the signatories must also sign verbatim records in the ground-only documents that give rise to the entries in the F700. Therefore there is no vulnerability to losing unique records. The only pages which must not be carried are the flight servicing certificates because they hold unique records. When away from base, the certificate should be posted home.