> Rotting in the ground releases the CO2.

Some. And it takes a very long time. All cars will be electric by the time a tree that dies today will be converted back to co2 from rotting. So burning now is a bad idea.

> I was reading a study however, saying that, if properly done, a single acre of land could provide enough wood to heat a home indefinitely, I don't recall the details past that though.

How big is the house, how insulated, what temperature inside, what temperature outside. This is probably a bad idea too since it takes a lot of energy to go from a tree outside to it heating up your house. And that energy has a carbon footprint too. I would not be so fast to say that burning fossil fuels in a very efficient and clean way is worse than burning wood even in theory. In practice virtually nobody wants to do that.