One of the goals stated in the article of proper forest management is returning of nutrients from the burned trees to the ground. That wouldn't be accomplished by harvesting the timber.
Besides which, sustainable fires (i.e. ones which don't, in the long run, substantially change forest coverage or makeup) are by definition carbon neutral.
Besides which, sustainable fires (i.e. ones which don't, in the long run, substantially change forest coverage or makeup) are by definition carbon neutral.