Disclaimer: I don't know the T-45 NATOPS. That said, I would guess the above is not correct. You perform different (yes, different, not just additional) maneuvers in the -57 and the -34 than you do as a "true" SNA, so I wouldn't be surprised if there's something additional for the T-45 NATOPS. If I'm wrong, so be it, but there's a reason why IPs get additional stuff (thus covered in a NATOPS check) than the studs do.
Quite possibly true, but I would say that the 3 different NATOPS checks I've had in the Hornet have been very similar (if not identical) in scope to my safe for solo in the T-45, aside from the obvious differences in airframes and procedures. At the end of the day, you are signing for a multimillion dollar aircraft as not only the sole crewmember, but also the PIC/Aircraft Commander in either case, even if you do it only 30-40 times in the -45. The various follow-on safe for solo flights in the -45 were geared towards verifying that you were good to go on the mission conduct in a block of flights (generally an exposure or two, a check, and some solos) and not re-checking that you are up to the baseline standards of safe operation of the aircraft within NATOPS limits.....though of course that did bite more than a couple of folks in later stage flights.