It’s not false hope. The landscape of the NFL changes week to week. Injuries certainly change things for every team at this point in the season. In addition, teams in a good position to qualify for the playoffs access the rest of their season and plan accordingly. The “hope”, right now, is real enough.
The tough part is depending on other teams’ success or failure to put the Cowboys in a position to make the playoffs. Philly can probably see with their O-line injuries they are not going to be the top seed and just play to win the division and get as healthy as possible for a playoff run. That leaves the Cowboys, realistically, chasing one of three wild card spots. Not easy, but not impossible.