Breeding Dogs Discussion

Years ago I went to see a man about something I do not remember about what. What I do remember is that he had a dog in his back yard that looked like one bad to the bone pitbull with a lab type head...I asked him what breed and he said half lab and half English bulldog...he also said she raised ten pups and all looked mostly like lab types except this one...

This was puzzling to me at first, and my final theory that made since me was this...The English bulldog gene pool deviates so much away from normal that it can not reproduce itself consistently when bred outside the English bulldog breed. We all know that the dog can barely breathe and needs air conditioning to survive the summer heat and most always the females deliver by C-section...it seems to me that quite a bit of the English bulldog exaggerated traits must be recessives...
It seems to me that some of that theory applies to the once in a lifetime dog because the deviate so much from the norm...we can use one of the greatest racehorses of all time as an example...Secretariet never reproduced himself...