You forget that, because of time dilation, you cannot observe a particle passing through an event horizon. In essence, once the time has passed when the probe particle is supposed to have 'actually' gone through, they become effectively decoupled because there can be no paradox between the image of the probe (which never crosses) and the 'actual' probe (which cannot be accessed). One cannot even tell what the attributes of the probe are any more (particles may spontaneously transform as their spacial and time coordinates mix inside the horizon), much less if the state in question agrees with its mate.