There is no logical answer for that. Or for other questions that the extremely poorly thought out ending caused. As stated upthread the only fix here would be to push Discovery to the future by some time anomaly that completely erases the existence both of the ship and of all on board (and anything they did beforehand) from history.
Season 1 incited the fans to complain about the hairless Klingons, the dark sets and the lack of mention of the bridge characters as well as the spore drive. Season 2 responded by putting hair on the Klingons, trying to explain canon inconsistencies by bringing in Spock and Pike and the Enterprise, introducing the bridge crew and turning up the lights. The result at Season 2's end was still failure. So, now they are going to take another chance at fixing the show by putting it in the future where there is no canon to conflict with. The problem with that is that they needed to do that BEFORE interacting with the Enterprise, Pike, Spock, and showing us a bunch of dumb unfamiliar ships and a Klingon race and culture that does not at all resemble canon. I am hearing the jump forward is going to be about 900 years. If that is true, just how relevant will this ship and crew be? Nothing they have will be modern. Besides that, they still have the deus ex machina of the time suit and dumb "time crystals". It is still going to continue failing.
CBS is throwing good money after bad, and they are not going to make that money back. Already, Star Trek conventions are suffering. Nobody wants to see the Discovery cast and they are not buying merchandise because none exists. Licensees do not want Discovery stuff because they can't sell it. The show is not driving new CBS All Access subscriptions. I think that if the CBS Viacom merger happens, Sherri Redstone will see to it that Kurtzman is fired and that Discovery and Picard and anything else in the Kurtzman pipeline is canceled.
I do not have high hopes for the Picard show.