Many details on the ground are hidden in a fog of war and propaganda from all sides. I just think a couple measures of success of food distribution are to step back and ask, "are people able to get food without being killed on a daily basis?" and "is the population generally receiving food and not starving to death?". And it seems pretty clear to most of the world the answers to these are emphatically "No" since the time the GHF was put in control of food distribution, and when all established aid groups were blocked from providing humanitarian assistance.
Cutting off food supply drives up the prices, both causing mass starvation and providing a great opportunity for Hamas and other entities to resell food at huge profits. If there was more than adequate food instead, then nobody would be starving to death, and Hamas would not gain much benefit from reselling food.