Diminishing the meaning of 'rights' is great: if everyone and everything had appropriate rights, there would be no further need for the concept to be discussed. That's a good thing.
Giving puppies a legal right to have silly hats and birthday parties obviously diminishes the real rights that we all care about. Rights-proliferation leads to governments taking a pick-and-choose approach to enforcement, and many people would argue that having selectively enforced rights is tantamount to not having any rights at all.
Diminishing the meaning of 'rights' is great: if everyone and everything had appropriate rights, there would be no further need for the concept to be discussed. That's a good thing.