When you're in a punctuated equilibrium it feels like a singularity, but it will level off.

We're either in an ongoing punctuated equilibrium, or the singularity.

Then again, humans have basically been a singularity since we invented language and transcended the pace layer of biologic evolution.

We've transcended many other layers since then, this is just the most recent one.

Maybe each new pace layer transcending via a new technology is a punctuated equilibrium for the human race, extending the meta-singularity of humans.