You're not quite getting it.
The mistaken use of the Tritium class design on the cover of Julia Ecklar's
Kobayashi Maru did NOT influence JJ Trek or any other uses - in JJ Trek the Kobayashi Maru was the ship from the fan-made blueprints, which does not bear any similarity to the Tritium class
According to the Spaceflight Chronology, the Tritium class was an experimental starship that was never put into service. it was a geometric main hull with three warp nacelles, connected to each other with additional struts (the third only apparently connected to the other two nacelles and not the main body). it never had any association with the Kobayashi Maru except for being pictured on the novel
The fan-made design that was later adopted by canon is a saucer with two nacelles and two additional outboard hulls. with the exception that they were both starships with more than one nacelle they had no other "basic design" in common. this is the design that influenced later works such as JJ's Trek, STO and The Romulan War.