Unless the solid state battery pack has such high energy density that it can reduce the weight to under 2 tons and set a sub-7 time at Nordschleife, I don't see how marketable it can be.
People more or less accept BEVs as muscle cars that are only good at straight line performance. Whether it's a 2 door coupe or 4 door sedan it will have more than enough power to break traction on all 4 tires. There will be a dozen of BEVs reaching the 1.8s 0-100km/h physical limit by 2028. But if it wants to be considered a proper supercar it either needs really good track performance or really high top speed or a combination of both.
What's more concerning is that Lexus has zero know-how on how to make highly integrated and efficient "three electrics" systems (battery, power electronics, motor). The "new" ES BEV is ~2022 tech level in 2025. By 2028 the current 800V systems, which Lexus still haven't mastered, will be obsolete on those flagship EVs. They are still stuck on 3-in-1 eAxles (motor, inverter, reduction gear) when the industry moved on to 5-in-1 (motor, inverter, heat management, multiratio transmission, torque vectoring). They still have zero knowledge of cell-to-chassis battery integration and likely never use it because they will somehow insist this "supercar" must have similar reparability as a commuter car.
Lexus would have to overcome a similar level of technology gap as the original LFA for this project. But I highly doubt they would put in the same level of effort and budget into it. TBH they have a better chance letting their Chinese branch handle the development.