My usual answer to this sort of thing (aside from one similar to yours) is, with the amount of starships out there -- not to mention nearly a century passing between Discovery and The Next Generation onward, does one REALLY think that each officer on each starship or space station, respectively, knows every bit of Federation history?
Data, yes, absolutely. But, even then, within what context is it necessary to mention? In Way of the Warrior is there a scene we never saw where Bashir and O'Brien are sitting in Quark's and say to one another, "Remember reading in history about the Klingon-Federation war? That USS Discovery and its spore drive really saved the day. We wouldn't be here without it!"