The contradiction of the capitalist mode of production is not that it tries to cover its costs. That is necessary in any system of trade/production.

The problem is using social services to generate capital. A public good for private interests is wrought with contradictions. And, as you can see, covering costs =/= generating capital.

Not even mentioning that the mode continuously works to undermine itself in making production more efficient by developing technology and driving down prices but profits as a whole too.