I would never replace a family member who has passed on per se, so no.
So far as an adult dog owner I have adopted a 4 wk old puppy who picked me, and rescued 2 adult dogs.
They have all touched my life beautifully, and have sometimes been the only reason I look forward to coming home at the end of the day.
As you probably already know, the saddest thing about being a dog’s human is how short their life spans are in comparison. Although I feel really connected and drawn to certain breeds (weimaraners, border collies, labrador retrievers, greyhounds, poodles) it alone would not have that much bearing when it comes time to making the committment of adopting a new dog.
If anything, I would be more inclined to adopting a mutt, because of the known hereditary diseases associated with pedigree dogs. So to answer your question, no – the breed alone would not be the driving force.
I mean sure, I would love nothing more than to rescue weimaraners repeatedly and wind up with a pack someday, but that is more because I am in awe with that breed and they are vastly misunderstood and subsequently surrendered between the ages of 1–3 yrs of age.
I am ethically opposed to cloning, but if I weren’t, the 4 wk old puppy I adopted nearly 15 years ago would be an awesome candidate. She is a black lab/border collie who had obedience training and 5 hand signals downpat by age 6 months. She has been very healthy overall and a docile temperament.