A reputable source of NSX knowledge shed some light on the matter.
When designing the NSX-T, the roof was cut off a coupe and a chassis reinforcement study was carried out. In the end, over 50 points of the chassis were reinforced and changes were made to parts of the internal aluminum structure. Some of those reinforcements were then built into the NSX coupes as well, making the chassis of later coupes more rigid than those of earlier coupes. It was found that the NSX-T’s triangulated rear strut tower brace was not required on those later coupes.
Regardless how rigid you make the chassis of a car, it’s going to flex a bit. When you change how much it flexes, you will also change its resonant frequency. The new resonant frequency may lead to an increase in perceived noise, vibration, or harshness (NVH). Kind of like sitting inside a drum instead of inside a bean bag. Additionally, that new resonant frequency could potentially induce an unwanted vertical vibration in the chassis that negatively impacts the tires’ contact patches with the road.
To determine whether those negative side effects crop up or not, you have to carry out tests. Some people who installed 2002+ NSX-R front chassis braces in a regular NSX removed them again because they didn’t like how they impacted the car’s feel. Other people prefer the feel of the car with those front chassis braces in place. It may be a similar matter installing a triangulated rear strut tower brace in an early coupe.
If you find that increasing your NSX’s chassis rigidity negatively impacts some aspect of NVH or roadholding, you could unbolt the chassis reinforcements again. If you have access to development facilities, you could try to dampen the new resonant frequency instead with something like Yamaha’s Performance Damper. Increasingly, car manufacturers like Toyota are not only trying to build rigid chassis but also to dampen chassis resonances to further improve “driving stability and riding comfort”. That way the car can be as tight as a drum while having almost as few resonances as a bean bag.
I haven’t heard of a Yamaha Performance Damper having been developed for the rear of an NSX’s chassis. Since I like the way the NSX-R front chassis braces changed the feel of my NSX, I may try installing a triangulated rear strut tower brace in my early coupe as well and hope it has a similar effect.
Let us know if you do, and if you find any bad/ill effects.