Recently, our SPCA received a "stray" dog. Several days later a woman comes in to claim the dog. She has paperwork with the "finder's name and address on it. So the poor dog was in the shelter for 3 days as a vindictive move on the part of the ex-boyfriend.
So it is lose-lose all around. When an animal is surrendered as a stray and the person who surrenders it knows the animal, we cannot get good information about the animal. Plus the animal is held at the shelter for the required hold period and cannot be adopted until the hold period is over. It has financial implications as well because it costs the shelter money to inoculate, feed, and shelter the animal.
So please do not lie about an animal when you bring it to a shelter. It isn't in the best interest of the animal.