As I understand it, though, predictive states do not transmitted information (they simply give a cell an advantage to activate sooner and inhibit it’s neighbors).
Rather than transmitting predictions, I have always visualized heirarchy in my mind, as making predictions based on input not just from the same level, but also the next level up.
If some cells are predicted by activity only in the current level in the hierarchy, while others are predicted by activity also from the higher level, the ones with both levels predicting them win and inhibit the others. The winners have their synapses adapted to better align with the activations from both levels.
Not sure if that is the same mechanism you are imagining though.