So, I do not know any lore for Star Wars, so a lot of my commenting may be vague as I am obtaining information from the wikipedia.
The idea at hand is to implement a name change for Special Operations to be edited to Stealth Operations. The main reasoning behind this is that A: Special Operations is currently not recognized as a member of SOBDE and B: Commander Blackout in lore is a commander of the Stealth Operations battalion. Please correct me if I've formed any misconceptions about the starting information.
Originally, SO operated under the naming of "Shadow Company" on the server. I feel as if Special Operations would be a better namesake than either of the two naming systems currently listed. Using exclusively lore canon, the closest troopers to the current Special Operations is the Shadow Trooper, "elite and highly trained stormtroopers that served the Galactic Empire during the Galactic Civil War against the Rebel Alliance" who "wore distinguishing black suits of experimental armor coupled with portable cloaking devices". If you take a look at the Special Operations Brigade wikipedia page, you find that a variant of Special Operations troopers that exists are the shadow troopers.
Furthermore, according to the Wikipedia, Commander Blackout was "a special ops Clone Commander" who "served onboard the Republic's experimental stealth ship under the command of General Anakin Skywalker and Admiral Wullf Yularen". As far as I am concerned, Commander Blackout is fully in-line with the concept of Special Operations, and as being a commander for the said battalion.
Directly under Commander Blackout is Commander Jet. These are the two lore commanders within the Wikipedia entry for Special Operations Clone Troopers. If you do a bit of research, you find out that the whole title of Stealth Operations should actually, in fact, be merged with Special Operations, as there is no difference between Stealth Operations and Special Operations except, explicitly, the ability to cloak.
Utilizing this information, I would assume that SO is fine the way it is. I do not know what Shadow Company is, however, but what I do know is that a lot of your research was very rash and the idea to change names from Special Operations to Stealth Operations seems ill-informed.
Please correct me if I am wrong on any of this info or any of it is not lore. I assume all of the wikipedia where I obtained information is canon.
Here is where I had obtained information:
http://starwars.wikia.com/wiki/Special_ops_clone_trooper and all necessary wikipedia pages branching out (such as Special Operations, etc.)