Actually, it's the "we shouldn't anthropomorphize" which is poor reasoning. Because of course we should, we should just call it something else.
I am not really aware of any mammal behaviour that I cannot somewhat relate to at gut level. You may say I anthropomorphize, or you may say I equate, it doesn't really matter. There isn't a physiological or neurologic feature we don't share, me and all those other mammals. I have some language and some reasoning power to top it all off with, but our sensations, reactions, emotionals, motivators, fears, pains and joys are clearly of very similar nature. Of course they are - they run on the same basic hardware architecture.
And now, if you will excuse me, my dog wants to go for a walk. I know exactly what he means.
[Edit: typo]