IMO, it would be extremely difficult (and somewhat foolish) to attempt reload 22 caliber cartridge cases with a jacketed bullet. The soft brass of the 22LR cc would bear toolmarks reflective of the reloading.
You could err on the side of caution by stating that the firearms will not chamber 22Magnum ammo, which the bullets are characteristic of, remembering that some 22LR revolvers (if you have any) can be equipped with a 22Mag cylinder (which may not have been submitted).