The background research does not seem to be specific to water. The bonding would be different, so that the hexagon shape would not be there, but crystals could still form.

I therefore hypothesized that crystals would form with the acetic acid, but not with the glycerol, because of the similar physical appearance of acetic acid to water--both are clear, thin liquids at room temperature (think of vinegar, diluted acetic acid).  The glycerol, however, is a much more viscous liquid, though still a liquid at room temperature.  It bears much less resemblance to water, and it just doesn’t seem plausible that it would form crystals.