I think before moving on to exclusive loot there should be achievements for doing raids under min ILevel sync with some items there to make it appealing. As an example:

  • Adherent of Limits I-VI: Clear a set amount of Raids or EX Trials 25/50/100/300/1000/5000 at the Minimum item Level
    • III: Weighted Gi
    • IV: "The Fettered" title
    • V: A Minion or a voucher for a Cash Shop Minion
    • VI: A mount
  • The Weighted Coil I/II: Clear the Binding Coil of Bahamut 500/1000 times.
    • I: the "Neurolinked" title
    • II: Wind-up Dalamud minion (This depends on if SE would prioritize promoting min ilevel sync over thir merchandise)
  • The Weighted Coil III/IV : Clear the Second Coil of Bahamut and the Second Coil of Bahamut (Savage) a combined total of 500/1000 times.
    • III the "Masochist" Title
    • Wind-up Nael deus Darnus Minion
  • Weighting of the Heart I/II: Clear the Final Coil of Bahamut 500/1000
    • I: "Will of the Phoenix" Title
    • II: Wind-up Bahamut (Again only if SE decides to "revive" merchandise minion that have expired)
  • Well that's just Primal: X I-III:Clear a specific Primal (Extreme) Trial 500/1000/3000 times under minimum item level sync (X being the primary's name)
    • I: "X's Bane" title (X being the title of the Primal in question ex. "Inferno's Bane")
    • II "X's Glory" Title (Title based on a Weather or phenomena associated with the Primal's element)
      • List includes, in order of Primals fought: Firewheel, Tremor, Cyclone, Illusory, Tsunami, Supercell, Hailstorm, Advection, Eruption and Apocalypse
    • III "Slayer of the X" title (X again being of the same list as above for the respective Primal)
I would also suguess having the Primal mounts drop more ofthen for EX trials, but the ponies are a moot point and the birds are for fight that haven't been completely powercreeped by players yet and likely will not be until 4.0 (not to mention that it may not help the issue of getting things from unsynched raids)