They have one, but there's no evidence that it's actually at 1000V.
They have no control over what Tesla does, but they could make a statement conditional on what's deployed. As for the Wunderbox, that obviously didn't make sense prior to Tesla opening up the system. A redesign could be done, but Lucid would have to balance that against the likelihood of Tesla deploying V4, which would make it a moot point. Since with most Superchargers, you'd have to take up three spaces and park a Lucid sideways since the cables are too short, it might not matter. If Tesla starts putting in longer cables and magic docks, and they go in V4 chargers, then Lucid won't need to change the Wunderbox. If Tesla decides to retrofit older equipment, it's different, but I have no idea whether retrofits are eligible for funding or whether it would have to be for new installations. I doubt that the government had retrofits in mind since there was nothing to retrofit when they wrote the legislation.
If Lucid did make that change, what would it cost to change it in existing vehicles, if it could be done? If they changed the port to NACS, then it wouldn't need more wires, so it should be doable. But there are too many unknowns.