I guess the analogy already tells us what to think of it: Are Dark Forests actually silent? There is a lot going on in forests, day and night, animals need to feed, they need to procreate. Of course, we don't really know what that really means if the "animal" is an entire civilization (and in what form a group of civilizations could constitute a species), but Dark Forest aren't silent places where no one ever interacts. Stuff gets done, some of it ugly and brutal, some not.
Maybe the more interesting aspect of the analogy is- what is the time scale of events in this "Dark Forest", and how could we even percieve something on that scale - we're individually basically the cells in the animals, and how much do the cells know about hunting prey, evading behind hunted, and finding mates, and how much say do they get?
I guess the counter-argument here is that every analogy has its flaws anyway and shouldn't be taken too literal.
But I would say it's not just about alien psychology - it also makes assumptions about technology feasible of things like civilization killing weaponry that cannot be detected or traced back by observers, which is basically the problem we already have without the Dark Forest concept. Maybe the reason we don't see other aliens is because they are hiding from the potential civilization-killing weaponry by some nasty aliens, but maybe we're not seeing them because they are all too far away to be detectable with anything that can be engineered within the resources of a planet-born civlization. We haven't even established yet that we can even do interstellar communication or travel between alien species, and now we're adding even more assumptions!
Maybe you just can't get the resources and energy in feasible time scales that a civilization can manage. Everyone is stuck to their star system, and mostly really their homeworld, because terraforming takes way too long and nothings is truly self-sufficient enough that at some point there isn't a bug, error, mutation, accident or revolution that doesn't require resupply from the homeworld. And maybe, even at some point you get the homeworld to a point that it's not going to be able to support your habits. So we're mostly missing each other, too far out to reach, or if they were closer, they are long gone or have yet to evolve in the next million years.