The way you posted it can be quite ambiguous, but


is not a great post-GI option even for ring-outs, because it lacks the range of other moves that serve the same function, and even some combos that have a similar function that just do more damage. Because of the knockback that Guard Impact and Guard Burst have, in order to land a


you will have to step forward, and that can mean the difference between them taking a cliff-dive or staying in the ring.


is, however, a valid option after JG if their move is too safe for a


punish, but that would have to be a very safe move.
For post-Guard Impact or Guard Burst, remember iWR B or




(not



) for the over head launch. Those moves have superior range to


and can ring out, as well as get Aeon his bread and butter combos if there is not a ring edge behind you. Also, iWR B combos are meterless compared to


.
Basically,


is for punishment where his other over head launchers aren't fast enough.