Gear tends to convert into materia that's either associated with the stats on it or the jobs that can wear it. For instance, gear that's tailored for melee DPS can potentially convert into Quickarm (+skill speed) and not Quicktongue (+spell speed). Gear that's tailored for mages can potentially convert into Quicktongue and not Quickarm. Tank gear can convert into Battledance.
Savage Aim, Savage Might and Heavens Eye is useful for all DoW and DoM jobs, so I'm pretty sure any piece of gear that's for DoW/DoM jobs can potentially convert into Savage Aim. I don't know if Savage Aim would be limited to gear that has +crit rate natively, or if you would even have a higher chance of getting it from gear that has +crit rate.