If you abstract quantum-entangled particles to a communication channel with zero latency, you still have the consensus problem—you just run into the edge cases less frequently. So it would help, but consensus is still a fundamental challenge with parallel processes.
Given the handwaviness I might just be misunderstanding what you mean by "zero latency", so I just wanted to clarify: entangled particles do NOT enable FTL communication. Sorry if I am saying something you know, but others might misread your comment.