This is obviously true in the factual sense of "You can't win a World Series without making the playoffs."
But as others have mentioned, including Hahn....the AL Central can't seem to have anyone that wants to play above .500 at this point. How is the winner of the AL Central going to stack up against Texas, Tampa, Baltimore, or the Braves, Phillies, etc...? Yes, getting to the playoffs is the goal, because you can't reach your ultimate goal without doing that first, but I can at least give a small tip of the hat to Hahn for his quotes above, as he's telling the fan base "Listen, we got to the playoffs in 2020 and 2021, and we all saw what happened. A First Round exit isn't saving anyones job, that's not the goal, and if we think that's all this team is capable of, we're not investing more resources into this bunch because that isn't what we're shooting for."
Obviously that is received much more positive if he wasn't absolutely terrible at his job and got the Sox into this mess, but I do agree with his sentiment given how the standings look, as well as the performance of the 2023 White Sox.