Cu, Zn, and amyloid-β (Aβ) peptides play an important role in the etiology of Alzheimer's disease (AD). Their interaction indeed modifies the self-assembly propensity of the peptide that is at the origin of the deposition of insoluble peptide aggregates in the amyloid plaque, a hallmark found in AD brains. Another even more important fallout of the Cu binding to Aβ peptide is the formation of reactive oxygen species (ROS) that contributes to the overall oxidative stress detected in the disease and is due to the redox ability of the Cu ions. Many therapeutic approaches are currently developed to aid fighting against AD, one of them targeting the redox-active Cu ions. Along this research line, we report in the present article the use of a phenanthroline-based peptide-like ligand (L), which is able to withdraw Cu from Aβ and redox-silence it in a very stable 4N Cu(II) binding site even in the presence of Zn(II). In addition and in contrast to what is usually observed, the presence of excess of L lessens the searched effect of ROS production prevention, but it is counterbalanced by the co-presence of Zn(II). To explain such unprecedented trends, we proposed a mechanism that involves the redox reaction between Cu(II)L and Cu(I)L2. We thus illustrated (i) how speciation and redox chemistry can weaken the effect of a ligand that would have appeared perfectly suitable if only tested in a 1:1 ratio and on CuAβ and (ii) how Zn overcomes the undesired lessening of ROS arrest due to excess of ligand. In brief, we have shown how working in biologically relevant conditions is important for the understanding of all of the reactions at play and this must be taken into consideration for the further rational design of ligands aiming to become drug candidates.