Anthropomorphic characters aren't necessarily the same as "anthropomorphizing" in this context. My "fursona" is a skunk, but that doesn't mean I think I'm very similar to a skunk, or that skunks are similar to humans. I may draw one or two parallels about certain generalized traits, but it's not really the same. (Though if skunks were sentient, it would admittedly be all sorts of fucked up.)
What he's talking about is more like when people see a dolphin and think, "Omigawd! They're just like us!" because its been trained to wave its flipper at people.
That type of anthropomorphizing, assuming that another species' behavior is based on the same thought processes/logic/emotions as our own, is in degrading to the species in question and usually harmful, since it takes the place of actual behavior theories.
Now, of course, there are some furries that anthropomorphize in both ways, thinking that somehow they are really thinking like a wolf or a fox or some such, and those people are absolutely fucking stupid. If you haven't spent years researching their behavior patterns and observing them, you don't know how they think, and even if you have you only probably understand them in a scientific/predictive fashion. I'm sorry, but you're just not a god damned wolf.