Orbits do not work that way
Anyone who has had hit period key once too many during Munar free-return in KSP knows it's exactly how orbits work...
Hilarious the the intellectual forum downvoted you for being absolutely right.
Artemis II never escaped Earth’s pull.
That video that NASA put out where the craft did a sling shop around the moon is extremely deceptive. The pull of the moon had very little effect.
If they had missed, they would have eventually crashed back to earth in the worst case, and best case just re-adjusted and returned a little bummed.
The craft has aerodynamics and speed. It might be figuratively true "unrecoverable" but if it takes e.g. 2 weeks to complete a return, their oxygen and food and batteries ran out. Alternatively if it enters too fast they return ... in pieces.
I think you're being a pedant, if your point is a grazing entry causing rebound skip ultimately returns to some orbital path downward.