By non covalent, I simply mean that the process involves weak intermolecular forces. I do not mean that the dissociation constant has any particular value. For example, the binding of GTP to ras p21 and the dissociation constants of methotrexate to dihydrofolate reductase are both in the general vicinity of 1 nano molar, possibly smaller, yet they are not covalent interactions. With respect to serum albumin, phenol red binds strongly, but to the best of my knowledge, this interaction is also non covalent. I don't know the value of the dissociation constant with respect to billirubin.