Earlier quoted context omitted.
Mankind is absurdly resilient. We are like rats or cockroaches but a hundred times more adaptable. Billions of people could die. We might lose 99% of species. But human extinction is out of the question. We could live in bubbles of air under the ocean huddled around nuclear reactors if we needed to. Roaches couldn't do that (without our help).
Without a massive population of worker bees, can we maintain the level of technological sophistication we've reached? I suppose governments probably have that fairly well doomsday planned.
Probably not but I doubt we'd regress very much. The world's population of less than 2 billion in the early 20th century was able to produce automobiles, airplanes, radios, etc. With the benefit of all the inventions and knowledge left behind I bet just a billion people could pretty easily maintain at least an early to mid 20th century level of technology. It would be a step backwards for sure but in the context of human progress it would be a minor blip.