If we're talking reference classes, I would cite the example that the first hominid species to develop human-level intelligence took over the world.

Note that humans haven't "taken over the world" in many senses of the phrase. We are massively outnumbered and out-massed by our own symbionts - and by other creatures.

Machine intelligence probably won't be a "secret" technology for long - due to the economic pressure to embed it.

While its true that things will go faster in the future, that applies about equally to all players - in a phenomenon commonly known as "internet time".