Does this mean that N quantum computers can agree on the spin of an electron instantaneously, i.e., meaning that there's nothing like FLP impossibility result f

Does this mean that N quantum computers can agree on the spin of an electron instantaneously, i.e., meaning that there's nothing like FLP impossibility result for distributed quantum computing? Or would that still imply violation of No-Communication theorem even if the observes can't exchange any information that way?