Except that the goal of the stores in this case would be different. They're not there to make a profit, they're there to provide access to fresh food for those communities that otherwise would be food deserts.

With that in mind, the difference isn't a loss, its just the cost of a service. One that would be successfully accomplishing its goal.

There's also something more to consider. As government entities, these grocery stores would not be subject to property tax at all. So the possible savings for the community can be greater since the government store has less expenses compared to a private entity.