Could Time Mage have worked in FFXI?

[Meyi]

Other Time Magic spells not available to jobs in FFXI include:

Stop
Demi
Old
Hastega
Slowga
Graviga
Reflect
Float
Quick

Ergh... Hastega is a Blood Pact: Ward ability to Garuda, Slowga is a Blood Pact: Ward ability to Leviathan, and while I feel as if Summoner gets Graviga, I must be confusing it with Tail Whip (single target Gravity).