Considering that 0630 was used for "Greatful days", it's possible that she was just referring to that crazy day of partying she tends to do before July 1st. (or was July 1st the day of partying?)
From masa's site:
Quote:
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"There are two usual summer events to me. One is the party held every year on June 30, the birthday of the owner of this bar (in Tokyo), when many old friends of mine I can't usually see gather here. To me, that is the one and only unhealthy night of the year, from June 30 to July 1st. (Laugh) ...(omission) ... And the other is the event of watching fireworks after gathering at the shop of my acquaintance near the sea in August every year ... ("Zappy" Aug. 2002)"
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It would make sense since the 0630 was next to Greatful days, which could be considered a psuedo sequel to July 1st now that I think about it.
It's not as memorable as the 'father' explanation though. I personally believe she never got back into contact with her father and neither did her mother, but who knows.