This is good context, and I typically avoid the profit conversation on topics like this altogether.
Not everything can be or should be designed and operated around profit. Providing a service costs money. When something is a public service, the benefit that the public receives from operating that service isn't profit, the benefit they receive is the service.
The whole point of transitioning towards socialism is that we want to be able to organize our labor and put the resources that we generate as a society towards projects that give some kind of benefit to us, not just towards projects that can turn a profit for people who privately own the economy.
