The IDF revealed on Friday, what it described as intelligence showing a Hamas command center located under a the Shifa Hospital in Gaza City. In a briefing, Rear Admiral Daniel Hagari told members of the foreign press corps that there are areas in the hospitals that are used by Hamas to direct its military operations.
non combatants escape - Hamas is deliberately holding civilians where they can act as shields. They aren't letting their only protection go.
Aid to reach dying - Hamas is taking it and holding it, it won't reach those in need. Any aid that crosses will end up in the hands of those who want to prolong the conflict.
Humanitarian efforts to make headway - im not holding hope for any meaningful headway without coming under attack or theft, and would not be surprised if Hamas took aid workers as hostages.
I want you to be correct, but none of the history tells me that any civilians will benefit while Hamas is there and foreign (not necessarily Israeli) forces are not there to make it happen.