During this decomposition, exactly the amount of CO2 is released that the tree once absorbed and that is also released when burning it
This is only theoretically correct. Practically, this is somewhat offset by a few details that should not be neglected. Humus/soil also binds CO2. If you remove nutrients and substance from the soil by burning the wood, the soil can bind less CO2. The rotting tree does release CO2, but the ecosystem also binds some again.
Furthermore, it is highly foolish to focus on only one aspect and sugarcoat it. Even if the amount of CO2 should be the same in both cases, it would be negligent to ignore the rest of the facts and comfortably sit back in front of the fireplace with the good conscience that you are watching a CO2-neutral fire. This does injustice to the rest of the ecological footprint. And it helps no one.
I don’t exactly know what this topic has to do with my driving behavior, but yes, I very rarely drive just for fun. Because I don’t have a car at all. Under these circumstances, driving is rather difficult. Let alone just driving for fun. Before you ask: I have flown only once in my entire life. I use the bicycle for 100–200 km a week, I walk little, I have never boarded a helicopter, I haven’t ridden a horse since my girlhood, go-karting, stilts, and roller skating are also history. I cannot walk on my hands, and I have a subscription for public transport. I avoid Flixbus, but I do take trains. I have more than enough fun, satisfaction, and exercise. I don’t have a fireplace to watch. Any more questions?