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Charge-density-waves (CDW) and their relation to superconductivity and quantum criticality have attracted the attention of the condensed matter physics community in recent years. In high-temperature superconductors, the interplay between the CDW and superconducting states is a subject of debate [1,2]. In intermetallic compounds such as R₃M₄Sn₁₃ (R = Sr, Ca and M = Rh, Ir), the CDW can be suppressed by a non-thermal control parameter, which enhances the superconductivity and leads to a quantum critical point (QCP) where the CDW transition temperature (T_CDW) vanishes [3,4]. However, whether the nature of the relation between CDW and SC states in these materials is of coexistence or competition is still a matter of debate. In this work, we aim to explore this interplay through low-temperature single-crystal synchrotron X-ray diffraction, thermal expansion, and electrical transport measurements under uniaxial stress.