First - what do the indicators of resilience really measure? Second, what do you mean by sustainability of a socio-economic system? How do you measure it? I have seen many articles on something they refer to as 'sustainability'. But very very few define it rigorously and even fewer propose a method of formally measuring it. If you can't define something, and even have no measure for it, how can you say whether any change has decreased or increased it?
If you are assessing the stability of a system in this way, you have to be absolutely clear what dimensions you are using to measure sustainability, and under what conditions. I think what you are trying to do is interesting - but to give your results real impact, do please try to include more formal definitions of the parameters that you are using, like resilience and sustainability. They are difficult terms, I agree, but they do need specifying as well as you can, so everyone knows exactly what you are trying to do, and what your results mean.
Resilience is defined as the ability of people, households, communities, countries and systems to mitigate, adapt to and recover from shocks and stresses in a manner that reduces chronic vulnerability and facilitates inclusive growth. In terms of socio-ecological, the concept of resilience aims to measure the capacity of a system in absorbing the changes results from the human activities; while in the sense of sustainability, the concept focuses on assessing whether there is a balance among the three major pillars (socio, economic, and environmental). To some extant, I think resilience is a concept that somehow comprehend the concept of sustainability and not replacing it. Therefore, I think the indicators of resilience and sustainability are some how sharing the similarity, and thus, can be used interchangeably.
Please find some articles on resilience indicators as attached. Hope that they are of useful to your study.