I don't mind responsible breeding while working toward the betterment of the breed. I would hate to loose the lovely breeds we have. Honestly, if we could stop irresponsible breeding by pet owners who don't get their pets fixed or who just want to see a birth, from mill type breeders, and from irresponsible hobby breeders (there are, sadly, irresponsible hobby breeders who don't care for their animals well and produce more than they can find homes for), I think we would have very little problem with animals in the shelter. There would still always be people who got an animal and had to give it up due to changes in health or life situations and pets that are lost and don't get back to their family, of course, but there would be a lot less that were surrendered to shelters just because the owner did not do their research before they bought the animal. Having done some research on my own, that seems to be the most common cause for people to surrender animals to the shelter. Well, that and people not being able to find homes for the babies they produce just to get babies or because they did not get their pet fixed.
The rabbit that died due to giving birth was a show rabbit out of good lines, and we had the room to keep all the babies if we did not find suitable (and I am picky about where my babies go) homes for them. I always make sure that I can care for any babies that are born by my animals before I breed, in case I don't find them homes that I approve of. I also take back any animal I bred at any time in its life, so if the family can no longer keep it, I will take it and either keep it myself or find it another good home.