If the greens were serious about reducing CO2, they'd advocate planting trees, turning them into paper, using the paper ONCE (no recycling), then burying the paper where the oxygen in the atmosphere couldn't get at it.
You nailed it. The only net oxygen producers are the photoplankton. They don’t get consumed like land based plants because they die and fall to the bottom of the ocean and get covered by sediment.
The rain forests as the “Lungs of the Earth” is a load of crap.
In almost any burial scenario, the paper decays and the carbon goes back into the atmosphere.
A more effective way to store carbon, temporarily but fairly long term, is to build houses out of wood. As long as the houses are maintained so the wood doesn't rot or burn, the carbon stays locked up.
if the greens were honest, they would acknowledge that YOUNG trees use up more CO2 than old trees....so using old trees for materials or fuel perhaps is a good and wise idea?