Anyway, the point isn't humans as a species, unchanging and eternal. But humans as the progenitors of future intelligent lifeforms that may indeed be around for 500 million years or whatever. Stasis isn't a requirement or even desired.
...by CHOOSING to contemplate survival on such timescales and making decisions based on that contemplation, we are, in fact, changing the odds of surviving that long. So a random selection is not appropriate...
Also, why do you think that we have agency? That seems another unsupported assumption.
I could see a general AI, if one is ever developed, being more likely to survive that long, given we even consider it alive to begin with. But a hominin descendant seems incredibly unlikely.
I guess I don't see why you think contemplating long-term survival would be correlated with longer survival rates.
Feel free to calculate the probability that a randomly selected species will survive 2500 times longer than they have to present.