Even as Hückel's rule is not applicable in every scenario, especially in metallic clusters, it seems that organic structure need to be planar to show aromaticity. That being the case, Pubchem's representation of Phthalocyanine shows a non-planar structure. Part of it is completely out of phase and perpendicular to the whole structure, just as in Biphenyl, with this making the latter experimentally confirmed as non-aromatic (the whole molecule, not each phenyl ring):
Is this representation mistaken or is there something more to this?