The ZZ-II in GT3 is actually a scale model - a real Tommykaira ZZ-II was never built. By the time they got to making one, the sportscar arm had already been sold to Autobacs, so the running prototype was actually the ASL RS01. About 15 years ago, the founder of Tommykaira bought the RS01, and within the last 5 years or so rebadged it as a Tommykaira ZZ-II.
The RS01 prototype debuted at the 2002 Tokyo show, a year too late even for GT Concept, hence why the GT3 rendition was fictional. It was also fibreglass-bodied, and thus probably 20% heavier than the planned carbon-fibre production car, but the drivetrain was from a Tommykaira R-z, so most likely close to the claimed power figures.
As mentioned above, the car in GT2 is one of the sketched options for the car's design, one of the more aggressive choices. Back then I don't think they'd even settled on a drivetrain, so it's very much an outline of what sort of performance envelope they were planning (600ps and turbo, about a tonne).