For both engine LP pumps to fail to deliver sufficient flow (and failing in such a way as to prevent suction feed) within a few seconds of each other due to prior events (wear/damage) or instantaneous fault is as unlikely as to be unimaginable.
For the fluid diet of the pumps and engines to be the cause, fed from different tanks, and again with that vital proviso - within a few seconds of each other - the common centre tank and its associated functions at that stage of flight must be involved ?
This seems to be the guts of what we are hearing now...
Sorry, just thinking out loud to focus my feeble ability to keep up with some of the earlier posts, but the Dirty Snowman has put nucleation and cavitation into contextual focus for me... Any more ..ations needed to complete this picture?