It reminds me of a video I watched on the human centric vision many people have and how it doesn't match with reality.
If insects died out tomorrow then the impact on the world would be massive. Pollination would be impacted, whole species of plants wiped out, food chains would collapse, within decades the world would be a far less diverse place with mass extinctions. Even if worms died out the impact would be huge globally. What about bacteria or simple single celled life? There's countless groups of life and species that would disrupt all life if it went.
What if humans died out? Domesticated animals would die out quickly but they exist to serve up. Beyond that there would be mostly positive impacts. The streets would start to fill with plant and animal life, there would be a global explosion of new life and diversification. The world would heal and over the millenia our structures would rust and fade away and we would be forgotten to history, a blip of no importance.