I didn't get a NekoPara vibe from this at all since it involved relationships between two animal characters and didn't have a human protag that went about everything like.
Rather missing the point, which is primarily about the whole "sentient-creatures-as-property" bit... also known in agrarian societies as "slavery".
I'd say it's greatly missing the point to try and apply some sociological bent to something that is only about a pupper and a kitty getting closer together.