You CANNOT "separate" a TRIAC to thyristors and it make 100% sense.
When charge carriers are added to a PN junction, it changes the conductivity of the bulk semiconductor in that region, it is not confined to the conducting junction.
Just like base-emitter current in a bipolar transistor allows collector current to flow.
Look at the TRIAC semiconductor makeup:
Whichever the polarity between gate and MT2, there is a current path via a single PN junction that can conduct.
Current flow there can change the conductivity of other junctions and trigger the device.
You have to look at it as a whole an ignore the simplified "two thyristor" comparison.