Unless they put run-flats on the car.
I don't think there's a government requirement for it, but pretty sure most of the manufacturers (honda, BMW, GM) that use run-flats on their cars incorporate some sort of tire pressure monitor.
Not sure why, but suspect it has to do with the qualities of a run-flat at less than specified pressure. I drove a friend's 'Vette one time (a C5) and the tire pressure indicator identified the LF tire, kept saying ony 16 PSI in that tire... but the car drove fine. When we got back to his house, sho' 'nuff, 16 PSI in the LF. Got me wondering how you'd tell if the tire was almost flat without the monitor - how low would you have to go to be OBVIOUS to the driver that you had a flat?
Those mothers are HEAVY, BTW (Corvette run-flats). Hopefully the Solstice doesn't decide to slap them on. At least we know the first year doesn't have them, so I suppose it's unlikely they will have tire pressure monitoring on this "back to basics" roadster.