Who will be closest regarding what life James Webb finds.

[Anomalocaris]

The circumstances of their extinctions are not to be found with humans.   Humans, by crafting tools and  planning in a versatile manner, and by eating each other metaphorically speaking, have achieved the adaptability to eek out continued existence in virtually every environment where any land quadrupeds has adapted to survive.    Therefore remnant but viable human populations can be expected to survive any event or process through which some percentage of land mammals, reptiles or birds survive.     So I think human specie would likely likely survive any of the great global extinction events known to have afflicted the earth in the last 600 million years, including sudden onset events such as K-pg impact that did in the dinosaurs, or protracted events such as end-Permian extinction.  

We may not be quite as hard to eradicate as cockroaches, but we are probably close.

I think the only real chance for humans to extinctify ourselves will come from humans collectively embark on some truly monumental geo-emgineering projects that becomes self-sustaining amd then go awry,  and result either in true run-away green house effect or a repeat of snowball earth that basically does away with all large land dwelling animals. 

And we are not that cooperative or have our acts together nearly enough to do that.

Bullshit. Human predation and/or habitat destruction are the proximate cause of each extinction. The rest of your word salad aside, it’s perfectly reasonable to presume that they will also be the cause of ours.

Boru

You should educate yourself.   Nothing recognizably human existed until 3 million years ago.    Each of the major natural global extinction events in earth’s history that came before the current anthropogenic one predate our existence by tens to hundreds of millions of years, and eliminated a higher percentage of species in the biosphere than the most dire projections of the current anthropogenic extinction event.

The animals that survive each global extinction tend to be those with the broad geographic distribution and able to adapt to wide range of environments and subsist on wide range of food sources.   If the extinction event is sudden, ability to go underground helps.  We check all the boxes for traits required of extinction event survivors.  That was not the case with the great auk, the dodo, or the passenger pigeons.   They each checked boxes for species particularly vulnerable to habitats loss or predation. 

I think any extinction event which will wipe us out, as opposed to killing large numbers but leaving numerous viable population of survivors, will likely have to be severe enough to make essentially all the land on earth uninhabitable by any animals larger than a large rat, and prevent all planting and harvesting, or foraging, for several continuous years at least.