You hit the nail on the head. Companies are scrambling for an edge. Not a real edge, an edge to convince investors to keep giving them money. Perplexity is going all in on convincing VCs it can create a "data flywheel".
If these models will be trained on the outputs of themselves (and other models), then it's not so much a "flywheel", as it is a Perpetual Motion Machine.
The second idea being kicked around is synthetic data will create a new fountain of youth for data that will also fix its reasoning abilities.
Right now the edge is in acquiring the latter which OpenAI has a slight lead in