I am not sure whether people have experimented with that, but in recent weeks I have been trying to get dupes for my charsoul and breeding has been a bit of a pain, but everytime I skipped the timer with runes (once accidentally, once on purpose) I got the Charsoul (4 Star) out of the breedery. Has anyone else had similar experiences?
Skipping does not improve the changes.
Getting them from skipping twice is pure luck, which i hope to also get one day 
Ive actually had the opposite experience, Im breeding 2x 3 stars for the last week and spend my runes on speeding them up, never got anything but 2 stars from skipping, ive gotten a few 3 stars from letting it run. 4 star has been elusive so far. I dont see anything that suggest the odds change. its cool you got lucky tho.