Everyday beasts, "muggle-known" beasts, according to Larson, are entirely controlled by the Sector 2 biological influence. They follow natural law to the maximum potential of the influence of the life unit.
Were magical beasts, such as unicorns and phoenixes, individuated to some degree in order to embody magical characteristics? The cat, whom the Egyptians worshiped, are recognized in nomenclature to having psychic vision and spiritual significance to some degree, even if it is scientifically lost in mysticism. There is circumstantial evidence of these attributes repeating for the myth to persist. Other mundane animals carry with them spiritual totems, like the butterfly that underwent metamorphosis.
It just seems there's a discrete difference between beasts that reflect, perhaps, their unique connection to the cosmic sector, and the myths of truly magical beasts that could heal others or be reborn from the ashes, for instance. The former, according to Larson, have no Sector 3 control units. But it seems a requirement to perform magickal feats is to have a minimum number of Sector 3 control units for whatever the requirement is for an ability, such as jaunting or healing, or else there would be little distinction between the muggle that is torn between sector 2 and sector 3 influences than homo sapiens ethicus that is firmly knowledgeable of the differences between the two influences, and builds himself ethically.
It is almost a matter of principle that in any difficult unsolved problem the right method of attack has not been found; failure to solve important problems is rarely due to inadequacy in the handling of technical details.