According to the insight gained, we can refer to the overall systems whose failure could lead to severe harm (e.g. injuries, death, major environmental damage) as SCSs. Reducing the risk associated with such systems may require the realization of dedicated safety functions (or safety mechanisms as they are referred to in other standards). Designated systems that implement these safety functions with the necessary integrity can then be termed SRSs.
But keep in mind, that safety terminology can vary by domain and standard. So, other application domains may use these two terms in a slightly different way.
For example, the automotive functional safety standard ISO 26262 uses the term safety-related system without actually defining it. However, it defines safety-related element and safety-related function as follows:
Safety-Related Element
Element that has the potential to contribute to the violation of or achievement of a safety goal
Safety-Related Function
Function that has the potential to contribute to the violation of or achievement of a safety goal
[ISO 26262-1:2018] Road vehicles - Functional safety - Part 1: Vocabulary. International Standard, ISO, 2010
In contrast, the term safety-critical does not appear in ISO 26262.