Of course they do. The temperature is not decisive in itself.
Food supply is a problem however.
Animals do have to come up with mechanisms to survive the winter food supply problem, like hibernation or migration.
I understand that. There's no indication that the author does, though. He just wrote
Yet even in todays supposedly warmer climate, the long winters in Siberia are extremely cold, with temperatures often reaching -40°C or lower!3 How could even the wooly mammoths have tolerated such extremely cold temperatures?as though the temperature on its own would be a problem.