Yeah, apparently they also reused a shuttle model from TNSFC in the intro video for SS1 and the powered TetraCorp armor is an item in Crusader No Regret too. Also TetraCorp reappeared a year after SS1 in a strategy game by Gremlin named Fragile Allegiance.
Heh, I'm not gonna get into a fan fiction debate on this. Because that's what it is. Fact is of course we don't know how TetraCorp relates to TriOp in 2014. The canonical opinion among fans seems to be they were bought. That's what I referenced in my earlier answer.
"Nearly all developed" sounds to me to be more of a reason to think that they are not the same company, since it implies that the whole ship is not built by TriOptimum, giving a good reason for TetraCorp to be on the keypads (it was one of the systems not developed by TriOp).
In SS1's handbook there's a note about a manager who defected to TriOp, so at least then the companies were competitors. In SS2's first cutscene the news man says that the systems on board the VB are "nearly all developed by TriOptimum and it's wholly owned subsidiaries". These points led many to believe that TetraCorp was bought by TriOp. I'm not aware of any airtight prove for this though.
Those could have just been outsourced to TetraCorp, though. It might have bee cheaper for TriOp to buy the keypads from TetraCorp rather than design their own?