Sensitivity Analysis of Perceptual Stabilization Regimes under Historical Compression provides a robustness check for the minimal toy model of perceptual stabilization under historical compression and overload. The note tests whether the regime distinctions introduced in the toy model depend on a single selected parameter setting or remain visible under broader variation of overload, resources, historical dominance, signal support, thresholds, and modulation parameters. The note does not introduce a new perceptual model, biological implementation, clinical interpretation, or empirical validation protocol. Its purpose is methodological: to examine the stability of regime separability among stabilization failure, partial stabilization, false completion, and full stabilization within the specified toy-model framework. The analysis uses controlled grid sweeps and random parameter sampling to test how regime boundaries shift under variation of the model’s parameters. The results show that all final regimes remain reachable across parameter variation, while false completion occupies a non-zero but bounded region of the parameter space. This supports the interpretation that false completion is structurally possible in the toy model without being forced as a default outcome. The central contribution of the note is to show that the model is calibration-sensitive but not calibration-arbitrary. Parameter choices shift boundaries among regimes, but they do not collapse the logical distinctions between non-recruitment, recruited-but-insufficient stabilization, dominance-driven false completion, and full stabilization. The note functions as a simulation companion to A Toy Model of Perceptual Stabilization under Historical Compression and Overload. It strengthens the methodological role of the toy model by showing that its qualitative regime structure remains distinguishable under systematic parameter variation.