Despite the urgent nature of Harry's trip to the UK to visit his ailing father, there was no reconciliation with his brother during the brief visit.

Harry's fleeting stay in London—under 45 minutes with his father and none with William—has intensified speculations about the frosty relationships within the royal family.

Historian Sir Anthony Seldon suggests that Harry risks losing public support if he doesn't attempt to mend ties, highlighting Harry's potential to make a positive impact.

Despite the brief London visit, Harry is actively participating in public life, attending events for his Invictus Games in Jamaica and Canada. Royal commentator Prof Pauline Maclaran believes Harry's rush to see his father was impulsive, yet necessary, post-treatment.

Echoing this, discussions about King Charles' openness towards reconciliation and the inherent sibling tensions between William and Harry continue.

The rivalry is exacerbated by Harry’s ongoing legal battles with the tabloid press and the separate public images the brothers nurture—William taking on more royal duties and Harry pursuing ventures in California.

Psychologist Dr. Sandra Wheatley remarks on the universal nature of sibling rivalries and their potential to escalate during emotionally charged times, suggesting someone needs to initiate an apology.

In conclusion, despite the lack of warmth between Harry and William, there appears to be a subtle trend of increased communication between Harry and his father.

However, discussing these gestures publicly could be seen as overstepping privacy. The future of the brothers' relationship remains uncertain amidst the strains of royal life and personal grievances.