To tackle the deepening concerns on socioeconomic inequalities in capitalism, major adaptations are necessary. The fundamental challenge must be institutional: existing institutions are inappropriate, and a greater period-of-experimentation like ‘basic income’ is necessary. This is why we must look at the basics of institutional economics, particularly in radical-traditions in the context of basic-income, stepping out of ruling neoliberal consensus. This literature, however, has weakly connected to the issue, how a basic income can truly act as a ‘trigger’ for self-organising a new resilient health system. This question in turn leads to sub-questions: (1) how capitalist ‘health-system’ gets to organisation-structuration in real-world (objectivity); (2) what its origin-of-disorder truly is; (3) in the crisis, how basic income acts as a trigger for the self-organising; (4) whether it truly acts as a trigger for self-organising a new resilient health-system in philosophical value ‘health justice’ and history; (5) if not, what the normative solution is, addressing the duality of reformism vs. radicalism. This paper, which defines ‘self-organisation’ as an ‘institutional process-of-change with struggle to reorganise-reconstitute-restructurate an order-out-of-disorder (order as structure), aims to revisit the questions, with the institutional matrix of self-organisation full of institutional variants structurated by market versus non-market; pro-capital versus anti-capital, through a deeper understanding of an economic anthropologist Karl Polanyi, and applies it to an case study (with quantitative data analysis) on the health-system in Korea during the last-decade. By doing so, this paper concludes: beyond superficial issues of market vs. state, Keynesianism vs. neo-liberalism, institutional theory in Polanyian literature addresses the deeper issue of structuration in capitalist health-system in Korea which act as the roots-substances of long-term crisis. In the crisis, the basic income, in turn, can act as a trigger for self-organisation in short-term, but only valid when truly connected to Polanyian long-term ‘radical’ vision beyond such capitalistic-system.