Life might persist on Earth, but if CO2 and methane levels continue to rise, humans won't be able to survive the natural disasters, extreme temps, unrest, and rising, acidifying oceans
The massive loss of biodiversity will already make it harder for surviving species to persist through blight, fungus, invasive species, etc., and these effects all compound each other
Less vegetation -> more soil erosion, less herbivores and disrupted food chains. That means certain plants don't get seeds spread or pollinated, less O2 produced, and the cycle repeats