While proportionality is in LOAC, if there is ample intelligence that the hospital is being used to commit attacks, it doesn't have to be used exclusively to commit attacks to be a legal target.

Rule 28. Medical units exclusively assigned to medical purposes must be respected and protected in all circumstances. They lose their protection if they are being used, outside their humanitarian function, to commit acts harmful to the enemy.

https://ihl-databases.icrc.org/en/customary-ihl/v1/rule28#:~:text=to%20medical%20units-,Rule%2028.,and%20protected%20in%20all%20circumstances.

"the protection of medical units ceases when they are being used, outside their humanitarian function, to commit acts harmful to the enemy. This exception is provided for in the First and Fourth Geneva Conventions and in both Additional Protocols.[37] It is contained in numerous military manuals and military orders.[38] It is also supported by other practice.[39]"

"While the Geneva Conventions and Additional Protocols do not define “acts harmful to the enemy”, they do indicate several types of acts which do not constitute “acts harmful to the enemy”, for example, when the personnel of the unit is armed, when the unit is guarded, when small arms and ammunition taken from the wounded and sick are found in the unit and when wounded and sick combatants or civilians are inside the unit.[40] According to the Commentary on the First Geneva Convention, examples of acts harmful to the enemy include the use of medical units to shelter able-bodied combatants, to store arms or munitions, as a military observation post or as a shield for military action."

And that's before we get into the creative reinterpreting of LOAC for terrorists in non- international armed conflicts fought by non-state insurgent groups which were invented post 9-11.

First off, a single incident isn’t enough.

This is not an isolated incident.

In that case, let's talk soldier to sailor as I suspect I've been out much longer than you and can provide the perspectiveof what is being seen. You're logically spoken, so I'm going to assume ~sgt rank and American.

During the US time in Afghanistan there was significant urban combat, with multiple civilians around, limited identification of combatants and a campaign to win over the local population so you had to be absolutely sure of your target and operations. This was not just the guy on the ground, but the operations planning at officer level, approval to senior command and in liason with local forces. Post patrol or fire fight the was debriefs, justification of actions, and improvement points to be discussed, remedied and distributed. This happens across theater, from rifleman to pilot to special ops. You likely sat in brief after brief, got frustrated at ops planning, and had to debrief and relive the worst day of your life in hopes lessons could be drawn to save lives down the track.

We civilians saw none of that. We saw videos of tomahawks being launched, helicopters flying, burnt out trucks. Civilians screaming, dead kids, burnt buildings. Coffins coming home, memorials, speeches.

What is happening in Israel is likely very similar. Im not Israeli intelligence so I don't see the planning that went into the attack, didn't sit in the ready room as the pilots got briefed, haven't seen the after action reports - because this information doesn't make it to the news and isn't distributed. The best we have to go off is exactly the same as we had for America - there are laws around it, civilians will get harmed in virtually any conflict, but a person who is well aware of the damage they are about to inflict, where, and who else will be affected still has to press the button or pull the trigger knowing exactly where that round is going.

The flaw in your argument is not that you are incorrect - far from it. It's the belief that because you were not directly involved to witness it it didn't happen.

My friend, they celebrate an airstrike with multiple rocket enough to create a crater few meter wide, using it on a human target, inside a crowded refugee camp. They certainly will not listen to any reasoning.