I think this is the correct interpretation, though one of Spock’s lines makes is needlessly ambiguous:
Therefore, to ensure the Federation never finds itself facing the same danger, all officers remaining with knowledge of these events must be ordered never to speak of Discovery, its spore drive, or her crew again.
Some people have interpreted this as a complete disavowal, but given that the rest of the scene talks at length about how it’s the time travel that needs to be kept secret, the fact that they “saw Discovery explode,” SNW’s “Memento Mori” gave us a Discovery pin on Starfleet Remembrance Day, and “Strange New Worlds” (the episode) gave us a shuttlecraft named Stamets, I think it’s safe to say the intent was never for anyone to deny that the ship and crew existed.