Perhaps they need to change the word from "emotion" to "response". There is a great bias in science against ascribing to animals anything that is even remotely considered to be exclusively in the domain of humans.

While I get the whole anthropomorphizing trend that pet owners have, raw emotional responses like anger, anxiety, envy, and affection are pretty easy to read. What is also clear is that the animals response to those emotions may be much different than human response.