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In this paper, we investigate how additive noise, e.g. thermomechanical noise, impacts the resolution of modelocalized resonant sensing architectures based on two passivelycoupled linear resonators. Existing work suggests that the ultimate resolution of these sensors can be improved by decreasing the coupling coefficient of the resonators. The present work gives an analytical proof that this result does not hold, and that the resolution of such sensors is actually independent of the coupling strength. These results are established for different output metrics and operating points, in closed-loop and in openloop, and compared to those obtained with other approaches based on actively-coupled resonators.