All Supercoupes Auto or Manual have the up shift light. Usually the light on while cranking, assuming your car isn't starting, means that the ECU is not receiving a crank position sensor signal. Either the sensor is dead, covered in metal particles, no longer in alignment with the tone ring, or there is some sort of wiring issue.
I believe the up shift light works the same on all Supercoupes, but I've personally only experience with a manual trans SC, under normal conditions it'll turn on under certain gear selection/load/temperature conditions along with a sharp beep to tell you to back off and reduce load to prevent engine damage. I've only triggered mine once or twice in 3rd and 4th gear holding higher rpms and load for an extended period of time. Oddly didn't turn on with a higher speed run from a 5th gear roll on even though i was in the throttle and boost a lot longer than when i had it go off in 3rd or 4th gears. Otherwise its a tattle tale for no crank sensor signal.