By analogy, the main rocket on the space shuttle has two stages of fuel pumps...powered by rocket fuel. So you could say that's inefficient, why not run fuel straight from the tanks into the rocket. But it can't pump enough in to get enough thrust unless it uses some of its fuel so that it could burn even more fuel.
My personal charity gripe is the blood bank. They make it out like you're a hero, meanwhile they bill the patient thousands of dollars. They hide behind "but people with disease might donate if we paid them", well they pay people for plasma. And they have to test for HIV anyway (not only that, HIV isn't even a death sentence anymore). If they want my blood they can donate it to the patient or give me 50% of what they bill.