I know a lot of people choose to draw lines, but I personally don't think it's necessarily a "line" one has to draw. I think this is best thought of as a gradient. A rabbit is more like us, than a carrot. It has eyes, a backbone, moms take care of their babies, etc. We look at a dogs and can clearly see loyalty, happiness, longing, etc— emotions we associate a lot with humanity.
Where these animals fall in the "they're similar to a human" gradient is highly subjective, especially since it may have an emotional component to it. But we don't have to all agree on the definition of this gradient when the consequences (what to eat) are very personal.
I will say though I admire this in humans. We have achieved plentifulness to the point we can attach moral and emotional meaning to our diet if we wish to. It's a pretty unique expression of our empathy.
Hey, will say your right about "seems similar to human", but behavior such as moms taking care of their babies is found in many plant species, as is loyalty. Probably happiness and longing as well.
Ask yourself how many of these feelings arise from the rational thinking part of your brain vs how they seem to be full body sensations, and realize that the central nervous system might allow such signals/awareness to propagate at mammal speed, but why would a plant need that speed?
There really is no reason why a CNS is needed for these emotions to be active, just a way to distribute hormones/chemical signals throughout the body.