I'm on my level 53 Botany quest in all level 51 HQ gathering gear, and on the xivdb someone in the comments mentions the location, but no time. The Cyclops Onion was not in the available items. Another comment links to a Youtube video showing the location and in the video he says it is timed and shows up at 7 EZ time. Well at 7 nothing showed up, and yes Truth of Forests is on. I've searched the internet and can't find any info about this.