Just as a hypothetical, what do people think would happen if Labor dissolved?
Probably it gets used as an excuse to split up the party into left and center-left entities. Peace Probably gets used as the left outlet, grows in size, and starts leading itself again, while a PUP-like party takes the remaining Laborites. Eventually one starts clearly dominating the other in game, at which point they mostly merge.
Long term: No change, except maybe single payer finally passes if Peace wins this struggle.