OP - I suspect that if you call back and escalate if necessary, you can get the family member moved back to the original flight if you want.

But, consider that with a chance of greater than one-hour earlier this close in, the family member will be entitled to EC 261/2004 compensation of EUR 300 (approx. $329) in cash or equivalent, not DL funny money, if the family member would prefer to leave things where they are.