The movement abilities I've proposed have much longer cooldowns than the other classes, so they would be more used in emergency for self-preservation rather than to keep up dps.
Couldn't come up with other names. Thanks for pointing out. I like Aetherglide and Aethersurf; very simple.
Thank you! Probably easier to code and work with I think as well. They could tweak Rescue for it, though both fairy and rescue has its issues with time delay. Having to re-position Lily back to the original position afterwards could complicate a situation and lessen awareness of other important things, yes.
I was thinking it had a much longer range than the WHM movement ability, on the range of (the proposed) SCH's Tactical Advance, or BLM's Aetherial Manipulation, that's why the long cooldown. The window for using it is up to 20s, so it can be planned for a bit, though I agree it could be a bit long cooldown and finicky to use in comparison.
It seems SqE have gone away a bit from time-mage, but I'm not opposed to going the more time route. A full on Blink effect could be too similar to NIN Shukuchi, maybe? Syzygy is Celestial Intersection already, I think? Though I like Solar Wind if one goes away from the interaction with the Earthly Star, but how far along astrophysics is in FFXIV I don't know.
Another ability name that came to mind if one go the route of Time Mage was "Syncope", but that would probably be bad to have happen in a battle. "Celestial Transit"/ "Transit" maybe, if one want to stick with the current astrology route.
If WHM would have cast-time then I think AST should have it too, since they would need to interact with time/space or something else, and could use Lightspeed to ignore any cast-time for a period if they want. WHM have Thin Air, so it's not like they can't use mana/aether instantly out of nowhere (not sure how the lore for it works), and movement is sometimes (when there's no lilies) an issue, compared to AST with their shorter cast-times (WHM compensate with their higher potency spells). I'm not sure what would be the better or fair option.
Another way could be to give AST something like double/triple the movement speed of sprint for a short time, 1-2s(?), something like a hybrid of Moira and Tracer from Overwatch (with some "solar wind" effect around you):
Syncope / Time Corridor / <ability name>:Speed up local time of self (or other lore reason), increasing movement speed by X% for Y seconds. Cancels any other action upon execution.
Cooldown: 60s-90s(?)