Emissions due to forest fires were 647 teragrams, approximately, according to a new study, which is about the size of India's fossil fuel emissions. Our forests have become carbon sources due to fire and insects, and I don't see that changing in the short term as we continue with climate change.
However, the international agreement on reporting of emissions is for a managed forest fire. That greatly reduces the international reporting. To be honest, the atmosphere doesn't care if the fire is burning in a managed forest or an unmanaged forest. It's still emitting greenhouse gases into the atmosphere.