It hadn't been used in a hundred years per dialog, but there's no reason to have it at the founding.
Being debuted at the 25th anniversary of the founding of the Federation (i.e. 2186) IS after the founding.
I don't see the point of bringing it into SNW unless it was made pertinent to one or more of the SNW characters. But given the nature of the accident, that would likely involve killing said characters, or people important to said characters. But then...where do you go from there? Is the character's trauma going to be a story beat for several episodes to come?
This seems like an Erica Ortegas story in the making. Presumably, it a family member or a close friend of hers or even a cadet she's advising that would die. But who knows? Maybe she does get killed off from the show.