Here's one point where it can make a difference what plant is the pod parent and what plant is the pollen parent, and back through all the generations to the species involved. A significant portion of the physiology of a plant lies in the subcellular organelles that come only through the mother line. A plant gets its mitochondria and chloroplasts with their little bits of DNA that are independent of the chromosomes in the nucleus only from the pod parent, from the pod parent of the pod parent, and the pod parent of the pod parent of the pod parent, and all the way back. If the species that began the mother line of a hybrid had specific temperature range preferences, that may still be reflected in the hybrid 20+ generations later to some extent.

Chloroplasts perform photosynthesis and store energy reserves and mitochondria process energy that drives everything else a cell does. The efficiency of those processes may depend on a species' adaptation to a specific temperature range, and result in a narrower temperature range preference than you might expect looking at all the species that go into a hybrid. Hybrids usually will thrive in a somewhat broader temperature range than any one species that make them up because other aspects of genetics are also involved, but there is this piece of the puzzle that only comes from the mother of the mother of the mother...