Extinction, no. Collapse of civilization, quite likely. A lot of people say the former and mean the latter. This isn’t really an error, as most people don’t interpret phrases like “if we survive” to mean the literal extinction of every breeding pair of humans.

"The good news is that humans [probably] won't go extinct from climate change. The bad news is that was the good news."

I always take that as a simple shorthand for "civilisation to survive", or "survive as a technologically advanced civilisation".

I suspect for most of us, and our descendants, it's pretty academic if the future holds extinction, some Mad Max future where the few survivors have the capability of the 19th century, middle ages, or somehow bomb^W emit ourselves back to the bronze age. All will see them surrounded by tons of surviving things (and packaging) they can see but can't understand, make, repair or refill.