I see some terms being brought into this thread that may lead to confusion. There is a very small level of study regarding bio char in concrete. It was also claimed that bio char acted as a pozzolan in Portland cement. I am not totally confident that is the case. There was mixing of the terms bio char and charcoal, another concern. While both are very high carbon, charcoal needs to be ground quite small to properly mix in a cement otherwise it will lighten the mix and reduce overall strength, not act as a pozzolan, which increases strength. I believe this misconception may arise from confusion between bio char and fly
ash. Fly ash and microsilica both act in Portland cement to develop a much stronger and more water resistant final product. This action does not arise from the carbon in the fly ash, but from the silica therein. That is a pozzolan reaction; silica provides the actual chemical bonding that provides enhanced properties. I did note a couple of studies where the authors claimed use of bio char produced from rice hulls to enhance cement. That was likely sloppy science as rice hulls are generally quite high in silica content and the resulting product was less bio char and more fly ash.
Bio char would be very useful on the surface of a cob wall to provide coloration, although to prevent it transferring to other items placed against it, it might be necessary to coat it with an overlay since carbon has very weak Van Der Waals forces. Carbon has high inter-molecular strength in two dimensions when in the form of graphite and in three dimensions as diamond. Another high tech strong inter-molecular form of carbon is as a buckyball. In most cases, even the two dimensional form (graphite) tends to be weak between the layers and appears soft as a result. From a chemical thermodynamics viewpoint, carbon is highly reactive if not in the presence of an oxidizer. The reactivity of carbon on being buried deep in the earth can be sufficient to crack water into hydrogen and oxygen, break down pyrite into hydrogen sulfide, hydrogen and sulfate and sulfuric acid. This process can lead to formation of caves from the bottom up and when continued deep within the earth serves to create hydrocarbons. That is a much more involved chemical thermodynamics discussion.
Sorry for the academic-speak, but in summary. It would seem more likely that bio char is more useful as a resource in agricultural use until more study provides the proper mix proportions in materials such as cob. Larger charcoal seems better suited to assist in purification of air and water servicing a residence and in starting fires such as
rocket mass heaters. Just my two cents from a chemical background. To create lighter and more insulating Portland cement, add chopped or ground recycled polystyrene foam or just add an emulsifier and water to create foam concrete. Easy and very useful in residential builds.