I always got the impression that Saavik's name was actually an affectation of her Romulan heritage that was in the earliest drafts and even in some cut scenes. The Romulans seemed to flip "S" and "T" names from the Vulcan genderized standards. Saavik and Sela were females and, even though we never knew the Romulan commander's name in "Enterprise Incident", her second in command was Sub-Commander Tal.Timo has a way of interpreting things in the exact opposite way they were intended. He's previously described Kirk as one of the greatest movie villains in Star Trek history.
^ This. He's also claimed that "Day of the Dove" is definitive proof that Chekov had a brother named Pyotr, instead definitive proof that he's an only child.
Even their names are incredibly uniform with that, rather silly rule of males starting with S and ending with k and all females starting with "T' ".
This naming convention was more of a general rule than anything else, as Stonn in "Amok Time" didn't fit the pattern. And it pretty much went away for good once the male Savik became the female Saavik when STII was rewritten.
As stated by others, Tuvok's name breaks all those supposed standards, but prior to his character's creation, there did seem to be something there in the way of a pattern initially. Although, Memory Alpha has a broad list of Romulan character names which clearly show greater deviation from the standard to the point where there really is no standard. "S" and "T" names, however, appear to be the majority, as with Vulcans. That appears to be an intentional similarity.
Additionally, there was also Valeris in TUC which breaks the mold. IIRC, the novelization briefly explains her odd name choice as being attributed to having its origins in Klingon (of all things), as the word for "peace". I remember her being particularly incensed by that. Then again, perhaps I'm having a senior moment and mis-remembering that bit of trivia. It's been so long, I honestly can't remember the details of that one.
I've heard that Valeris was named by her actress- after Greek goddess Eris. She added 'Val-' to make the name more 'vulcan'. I suppose T'Eris would be too obvious for many people.