This sounds a lot like the last level of capture the flag 2.
From what I understand, the technique proposed here would mean you cannot say anything about the validity of just one chunk: each server apply some operation on the password it receives and the chunk it stores, and all these operations have to be combined to say if the password was valid or not. If it's not, you cannot know which chunk was invalid.
[1] https://github.com/stripe-ctf/stripe-ctf-2.0/tree/master/lev...