Well, sorta but um no. If no profit includes a situation where everyone involved is paid at least enough that they are willing to do the work, then there
is by definition motive to do the work.
These economic models are simplistic to the point of stupidity. But motivation to do the work can be totally priced in to the equations as a cost of doing business. Profit beyond that is what must, in the models, end up at zero to be efficient.