But why should they?
His behaviour towards them over the last four years has been atrocious. It's not like he's had one misguided lash out in the heat of the moment, he's slagged them off countless times, given away private family information and made some extremely damaging accusations when he knows they won't publicly contradict him. And he's not once accepted any fault or wrongdoing on his part, or apologised for his behaviour.
Now it seems like he might be starting to regret some of his choices, the family should forgive and forget, and welcome him back with open arms?
For what it's worth I think the family might be prepared to forgive him in time, but for that to happen I think he would need to let go of all his bitterness, resentment and entitlement, genuinely apologise for his behaviour and work hard to make amends. And I just can't see that happening. Harry wants everything to be on his terms and I don't think he's got the emotional maturity or intellect to self reflect and understand this.
And even if the RF did forgive him privately, I can't see him ever returning to his previous position, even if he did return to the U.K. full time in future. He's burned too many bridges to become an official representative of this country again.