I don’t entirely disagree with you, Bad Astro, but I do have some reservations.
What if the parent-species wants to keep those life-sustaining planets viable for their own future use? If that were the case, the von Neumann machines would be primarily watchdogs, monitoring viable systems for signs of intelligence. Once intelligent activity is spotted, they get to work on the planet-killing subroutine, as you propose.
Furthermore, an intelligence-exterminating von Neumann machine should have a fail-safe device incorporated in order to account for the change of the parent race over time, and the possibility that the parent race might even forget that they sent out the exterminators. The parent race wouldn’t want to go colonizing a planet some millions of years after the von Neumanns were sent out only to be destroyed by their own creation.
That fail-safe might include a periodic signal indicating that the parent species is still extant, or a confirmation command from the nearest parent-species, or a consensus among other machines in neighboring systems, or even an evaluation of the potential of the emerging intelligence.
If emergence and subsidence of intelligence is fairly common, evidence of a colonization attempt might be the trigger, rather than mere existence. Why waste a perfectly good planet if the intelligent creatures are just as likely to waste themselves? And I myself wouldn’t want to shitcan an alien intelligence without learning something about it first.
(If our von Neumann machine is watching and understanding the evening news, it may have come to the same conclusion I have, which is that we are far more likely to destroy ourselves than we are likely to colonize another solar system.)
Reaching a decision to exterminate might take some time, but not too much time, otherwise expansion will not be contained. As I see it, the aliens need not be in much of a hurry right now.
And would one hundred years be enough time for a watchdog machine to put its planet-killing subroutine in motion? Maybe it’s already hard at work.
Wait a minute. Please change all those “shoulds” and “wouldn’ts” to “mights”. All unwarranted personification of hypothetical aliens with human motivation is the fault of the author alone.