Hell, thousands of years wouldn't even feel like a long time for human-built computers.
Remember though that we've already seen that people in rich nations are not driven to reproduce and expand like bunnies. Is there some evolutionary pressure on you that drives you fuck woman and have children with them? Is the impulse so strong that you cannot help yourself? We can have as much sex as we want, but without the children because of birth control. Why would it be any different for Aliens?
It may be true for many, even most. But you would need to expand it to all. Otherwise those who do want to reproduce and spread will continue to do it.
Also, we may be in a lull. There may be some gene that either makes people not want to reproduce, or makes people really want to reproduce. That gene is about to experience a whole boatload of selective pressure.