WELL... Even if the singularity wipes out all biological humans completely, whatever survives afterwards will still be a direct and immediate human descendant, and evolution will continue.
The surviving "creature" or "entity" will also likely carry all of human cultural knowledge with it as well, for the first time ever in evolutionary history.
Now, whether the thing that survives is a kind of human-biological-machine hybrid, or just a pure machine... either way it ultimately doesn't matter: it's the next immediate evolutionary jump in Earthly-intelligent-life-progress, whether we like it or not.
I mean, for example: we modern humans likely descend directly from a creature known as Australopithecus a couple of million years ago.
Yet few of us ever miss or mourn the passing of the Australopithecus afarensis species. And evolution and daily life goes on. And on.
And so too will whatever the nature of the creature that crawls out of the singularity event (if anything survives!) likewise march forward, and perhaps one day barely remember one of it's key originating species (humans)...
just as we humans barely remember one of our own key originating species (Australopithecus).
What goes around, comes around.
So... c'est la vie, and daily life in the universe.