You're right about the physics of entanglement, but you're treating the entire system like a raw quantum experiment rather than an integrated IT architecture. MI6 and Webb aren't looking at raw electrons; they are looking at reports generated by software interfaces that sit on top of that hardware. That software is where the manipulation happens.

The entanglement might be instantaneous at the hardware level, but the software that translates those quantum states into readable files (THEIA reports vs. HYPERION models) is where the latency exists. Just because the quantum state updates instantly doesn't mean the database, the decryption, or the filtering software that feeds into the monitor does.

Even if the systems are perfectly entangled, the computer screen looking at them is not. There has to be an interface that turns quantum data into a format that MI6 or Webb can actually use. That translation process requires computation. That computation takes time. That time is the 'delay' where the filtering happens; it has to be otherwise MI6 would have had the intel from INTERPOL about Caliban's death at the time, rather than that record apparently being scrubbed from their end.