Although I've been working with and experimenting with nitrous for 35 years, I've no hard facts to prove that 960 psi 'IS' the optimum pressure (which is why I used the term "it is said" as that's been the general consensus), as it's never been a major concern to find out what the 'exact' optimum pressure is, because I've yet to have a customer need more power than we can make at 'any' pressure.
Furthermore, although 960 may be the optimum the way nitrous kits are currently used, there would be benefits to using nitrous at much lower pressures when used appropriately.
One thing that is certainly important is to MAINTAIN A CONSTANT pressure (or at least as close to constant as possible), as ANY drop in pressure screws up everything by the degree of drop.
The best way to do that is to heat soak the bottle before use and in extreme cases when EVERYTHING ELSE has been optimised, add nitrogen boost or better still upgrade to a WON REVO system, as that SELF COMPENSATES to maintain a constant FLOW DELIVERY regardless of bottle pressure changes.