Do mushroom strains make a difference? yes and no
as far as cube's go most are generally the same potency except for penis envy strains. Penis envy is about 1.5-1.75x more potent than other cubes (I grew multiple strains and compared them over the course of a year or so.) "Albino Penis Envy 2.0" was close to 2x the potency of something like golden teachers. It's a man made mutant strain. VERY POTENT SHIT!
Other mutant albino strains like Albino A+ I would say are about 1.3x the potency of golden teachers.
Albino penis envy was so potent a lot of the smaller shrooms were a fierce dark purple color. Straight purple from stem to cap!
FYI: size does matter for shrooms. The amount of psilocybin/psilocin in each mushroom is not based on size. Each mushroom produces roughly the same amount of psilocybin regardless of size. For this reason smaller mushrooms are often more potent per weight (from what I read and I can personally confirm that)
In terms of is the high different between strains - no. It's all the same. Just less or more psilocybin.
other non-cube strains I can't comment on
here is a pic of some of the larger specimens of Albino penis envy 2.0 I grew. You can see just how purple they are (purple = psilocybin oxidation). Trust me, the smaller ones were even more darkly purple, almost looking black or rotten!