I think this seems a little too existential. What is more important, that you classified the right nouns and verbs in your Paws and Dogs, or that your code works?

In my view OOP is all about sane interfaces between components. In your internal code however, you should feel free to let your implementation details and data structures drive the flow, and not con yourself into writing OO spaghetti, that type of code written by inexperienced types who "heard somewhere to use classes" and can only think in classes, and the abstraction serves to obfuscate rather than clarify.