Let me see if I can help.
A buck-boost transformer works in boost by adding its secondary voltage to the primary by being wird in series with it in an additive way.
But, the added voltage doesn't supply free energy. It comes from the primary being energized because it's paralleled with the incoming voltage.
So, whatever load demand is made by the load is manifest by adding 13.3% more current at the lower voltage, which is the line side of the BB.
The current at the lower (incoming) voltage is 13.3% higher than it is at the higher (outgoing) voltage. That power has to come from somewhere.
So, the BB only has to carry the power its secondary adds to the load. This is unlike a standard transformer, which must be sized to carry the entire load.