We are all familiar with the genocidaires' explanations/pretexts for why they are blockading humanitarian aid, thanks, you don't need to rehash them here.

Egypt doesn't want terrorists

More to the point Egypt doesn't want to give Israel a pretext for constant drone strikes in Egyptian territory now that every Palestinian refugee child is supposedly "Hamas".

But either side can close a border, that's intrinsic to borders.

That was a pretty spectacular fail.

there could be some minor ways that some neighbor surpasses them.

Like, not being actively engaged in a genocide.