Indeed it does make sense. If the world warms up permafrost melts, bacteria get busy and raise CO2. In turn, that CO2 warms the planet further. Its called a reinforcing feedback.
If you simply raise CO2 by burning fossil fuels then the world gets warmer, the bacteria get busy and raise CO2. In turn, that CO2 warms the planet further. Its called a reinforcing feedback.
So in the past we'd expect CO2 to lag the rise in temperature and now we'd expect it to lead. All perfectly logical.
“You may kill an artist or a thinker, but you cannot acquire his art or his thought. You may put a man to death because he loves his fellow-men, but you will not by so doing acquire the love which made his happiness. Force is impotent in such matters; it is only as regards material goods that it is effective. For this reason the men who believe in force are the men whose thoughts and desires are preoccupied with material goods.“ — Bertrand Russell