I never did that relic. All I know from reading (unsure if the story was a 1.0 thing.) Its rumored Shatotto made a bunch of Stardust rods out the remnants of a star she brought down (meteor). The relic Gerot makes are replicas containing the original as base material with the appearance based on records and descriptions he can find. It may be a spiritual successor of sorts to the original but there were also copies out there as well. With that, the statue isn't holding a rod but is a similar object to the top of a Stardust Rod. Heck the Nullstone could even be made out of a meteor fragment as well. Given how Ozma like to spam the thing and its variants its surprising how Shatottos Meteor didn't come from the void.
Rhalgr is depicted as a magi carrying a staff of Bronze and is symbolized by a streaking meteor as his symbol. I'd find it odd Shatotto would make a bunch of staffs to represent Rahglr. Unless the symbolism was applied to her after having created the Blm's soulgem and summoning Meteor. So Shatotto could have been compared to Rahglr and the Meteor symbol is referenced to her. Or having shown such destructive power the meteor was applied to later depictions of Rahglr and replaced his staff.