Zn2-2xCuxInxS2 (ZCIS) films with 0.78 less than or equal to x less than or equal to 1 grown by pulsed laser deposition (PLD) on (001)-oriented GaP substrates were found to crystallize in the tetragonal chalcopyrite-type structure. The thin films are monocrystalline for all compositions under consideration. Among a striking asymmetry of twin distribution, orientation domains extending along all (100) directions appear additionally. The size of orientation domains decreases with increasing Zn content. As long as the films have tetragonal chalcopyrite-type structure (x > 0.78), all domains are 'infected' by CuAu-I type ordering independently of their orientation. Beyond the transition from tetragonal chalcopyrite-type to cubic sphalerite-type ZCIS (x < 0.78) which seems to coincide with the order-disorder transition too, the films having cubic structure become orientation domain-free, and the CuAu-I type ordering disappears simultaneously. A detailed transmission electron microscope study is presented.