This article accurately describes things

Rescue Place Has Become "Superdome" For Animals

"The reality is most of the original owners will never come back to get their dogs," said Miss Flood. "We have to be realistic and start putting the animals first."

I could not agree more. Ensure the animal is somewhere safe where it will be kept in a clean and sanitary environment and receive veterinary care FIRST, find the owner SECOND. It doesn't do a bit of good to keep the animal in the most obvious place the owner would look if that place is swelteringly hot and the animal is stressed out, lying in its own urine and feces, and exposed to disease.

I doubt any pet owners would disagree with me on that one.