A smaller tragedy in HOO was that Hazel's golden eyes never amounted to anything. Hazel has golden eyes-Kronos' golden eyes-and nothing ever comes of this.
Percy and Annabeth never freeze when they look her in the eyes, reminded of Luke's golden eyes, Kronos' golden eyes. Pluto never avoids looking her in the eyes for this reason. Her eyes never unsettle anyone-the Olympians or the gods. It's a shame that Hazel's eyes could have been a cool minor detail that caused her more insecurity about her looks, but she could have eventually learned to overcome it and take the golden eyes back on her own accord.