As I understand it, the main difference is the rate at one or the other will decompose. Here in Florida, with this hot, humid climate and sandy soils, adding organic, non-charred biomass could be a never ending endeavor. As many have explained, the organic mater decays at an alarming rate, leaving you with just sand even before the season is over. Biochar can help you to sequester those nutrients than otherwise would be washed away.