<p>In this paper, we consider a two-dimensional attraction–repulsion chemotaxis system and study the decay properties of the solutions in the repulsive dominant case with large perturbation conditions. While previous studies have attempted to estimate the decay of solutions to this system, the methods employed were found to be flawed, as evidenced by an important counterexample we present herein. Consequently, there is a pressing need for a more robust approach. To address this, we introduce a new strategy that involves establishing the space–time integrability of the solutions and applying Duhamel’s principle. By imposing specific restrictions, we successfully derive the decay rates for solutions in both the fully parabolic and parabolic–elliptic–elliptic cases, thereby advancing our understanding of this complex system.</p>