Privatisation is a reactionary strategy that aims to reduce or remove democratic influence over important social institutions like education and healthcare.
The entire point of social constructs like shareholder corporations is to make it hard or impossible to hold physical persons accountable for their actions and risk taking. In some areas of society this might be attractive and reasonable, in many others that involve e.g. vulnerable persons or justice it is not.
I have a chance to influence who sits in the regional political councils, but I can't influence the board in the corporation that runs the local healthcare centers. Capitalist competition optimises for mediocrity, for excellence you need democratic institutions and accountable politicians.
