The dog who was a cat on the inside meets cat who was a dog on the inside- whew long title

When I first watched this film I just took it for face value. It was a cute little cardboard cutout film about a dog and a cat who have to hang out with each other.Then I thought more about it, I think it is talking more about people and what they actually think and  do, like the cat on the inside likes cats and the dog does not. But then this conflicts with the ending of the film. This film seems more like  what is an issue with LGBT people or anyone that does not fit into the not normality of life. They feel that they are something different on the inside and feel left out because nobody else feels the same way. Until they meet someone who feels the exact same way. They finally have some sort of friendship and somewhere to go.