> "Can/should we be testing anti-depressants on animals at all?"
Yes, of course. We can test a bunch of mice, rats, and monkeys, and then chop up their brains afterwords and actually look at what happened inside. It's not as good as experimenting on people, but it does tell us something.
> "Is it possible that depression in animals is different than depression in humans?"
This is exactly the question being asked. From the article: "Are we in fact modeling the right things? Do the tail-suspension test and forced-swim test detect antidepressant activity after all?" ie, that is, in fact, exactly the question being asked.
> "Is it possible that lab conditions affect the psychology of the animal?"
Lab conditions absolutely affect the psychology of the animal. In these tests, ideally, what they do is they have two populations of animals. Let's say group-A rats get injected with drug XYZ, and group-B rats get injected with saline (placebo). You then look for differences between the two populations. Ideally, the technicians don't know which rat is getting the drug or not, all they know is that rat#1 gets injection#1, rat#2 gets injection#2. So both populations of rats get the exact same treatment, and you look for differences between the two populations of rats.
(Also, some animals don't mind being in cages, but some do. For example, there's lots of experiments with rats and macaque monkeys, because they don't mind cages or people. Whereas chimps would rather rip your arms off than be caged up or experimented on.)