Tardigrades have lived past all the previous mass extinctions, and will live through the next well beyond humans. They're amazing. People give cockroaches too much credit.
Why so pessimistic? We're clearly better at survival than tardigrades which can't build space stations or sequence their own DNA...
It would be like if someone said "IBM has survived every major downturn in the economy" and then someone replies "not the Dutch tulip crash of 1637!".
Other organisms survived all the major modern extinctions (like tardigrades), but there are other organisms that survived even more.
The last universal common ancestor, from which all extant organisms derive, predates the Great Oxygenation Event. So, there is an organism that has survived all known extinction events. And its descendants survive today.
The cyanobacteria, and microbes that grow deep in the earth's rocky depths are both more likely to survive future extinction events, than are tardigrades.