If you look at the basics, a dielectric material gets polarized under an external electric field, which developes an opposite internal field. Thus, the net field inside the material is reduced. The factor of reduction is static dielectric constant.

Naturally, dipoles are associated with the polarization mechanism. An ordered structure is more likely to develop a uniform polarization. So, the factor of reduction should be higher in the net field. Thus, for a same material, the ordered structure typically should have higher dielectric constant than the disordered counterpart.

Of course, in case of AC fields, some other mechanisms are involved that make the behavior of the frequency dependent dispersions more complicated to predict. But this is obvious that, ordered and disordered structures will not have the same values of dielectric constant.