Well, if Time = Gil, then:
* Relics take about 135mil worth of time to get to 99 with negligable extra requirements (a few hours extra).
* Empyreans take about 165mil (dross) or 195mil (cinder) worth of time to get to 99 with some extra requirements (probably a week of playtime?)
* Mythics take 330mil worth of time to get to 99 with huge additional time-sink requirements
* HQ VW weapons take 15-25mil worth of time
So HQ VW weapons don't really rank among the other weapons in the hierarchy that you listed, and mythics trounce the other weapons in terms of effort even at 10k per Alexandrite.