Sort of, yeah, but note that the half-life of CO2 in the atmosphere is on the order of a couple centuries for scrubbing into the deep oceans (it gets scrubbed f

Sort of, yeah, but note that the half-life of CO2 in the atmosphere is on the order of a couple centuries for scrubbing into the deep oceans (it gets scrubbed faster into other sinks such as the ocean surface, but those sinks also fill up). So any warming effect will only last centuries, not thousands of years.