The rattling mode, an anharmonic vibrational phonon, is widely recognized as a critical factor in the emergence of superconductivity in caged materials. Here, we present a counterexample in a filled-skutterudite superconductor BaxIr4Sb12 (x = 0.8, 0.9, 1.0), synthesized via a high-pressure route. Transport measurements down to liquid 3He temperatures reveal a transition temperature (T
c) of 1.2 K and an upper critical field (H
c2) of 1.3 T. Unlike other superconductors with caged structures, the BaxIr4X12 (X = P, As, Sb) family exhibits a monotonic decreasing T
c with the enhancement of the rattling mode, as indicated by fitting the Bloch-Grüneisen formula. Theoretical analysis suggests that electron doping from Ba transforms the direct bandgap IrSb3 into a metal, with the Fermi surface dominated by the hybridization of Ir-5d and Sb-5p orbitals. Our findings of decoupled rattling modes and superconductivity distinguish the BaxIr4Sb12 family from other caged superconductors, warranting further exploration into the underlying mechanism.