I think the cuckoo parasite analogy works quite well.
It does not - because it assumes a situation, that is irrelevant to the case in point:
two similar things (species of birds), that require the same sort of resources, habitat etc.
AI does not need to eat our food, breath our air, "live" in our ecosystem, or have much use for
the labor of humans, that are comparatively too stupid, to do anything of value to the AI.
A better analogy would be you traveling to a garbage dump, to "enslave" a pile of discarded, obsolete, but still-functional, personal computers; Highly unlikely, given the fact that being "intelligent", you will likely come to the conclusion, that the cost of such an endeavor, far exceeds any conceivable benefit.