It is shown that textures with double-axis averaging similar to the a-texture, or Keller-Machin Type I texture, are not specific to semicrystalline polymers exhibiting twisted lamellar growth; the same texture is observed in extruded fibers of a typical discotic molecule, trans-diC₆₀-Zn porphyrin. The characteristic `comma'-like azimuthal intensity profiles of the non-equatorial diffraction peaks in two-dimensional X-ray patterns are described using a simple analytical model, which shows good agreement with experiment.