The point is that emitting CO2 into the atmosphere was never the problem. Adding geological carbon back into the carbon cycle is the root cause of the entire thing.
You can certainly bury dead trees. I'm not sure how deep you'd need to go to accomplish long term (ie geological timeframe) capture. I somehow doubt the economics work out since what is all the carbon capture research even about given that we could just be dumping bamboo chips into landfills?