My adopted feral Siamese refused three different litter boxes when I had him inside healing from his neutering.I have a fenced yard and a doggie door for my dog. If I wanted to keep the cat in the house and clean up his crap from every place except the litter box, I would also have to keep my dog in the house until I let him go out. I've always had a fenced yard and never walked my dog other than occasionally for fun. The feral cat had the feline leukemia when he showed up at my house. I had him neutered and gave him his shots. Different strokes for different folks or rather different paws.

@Lorajay having a fenced in yard is not letting your dog run loose. And I understand that a feral cat is usually not really domesticated (only on its own terms). But house cats or kittens at a young age, have no real need to be outside. You did the right thing for yours. Not everyone does.