Even if the GI event was active right now....
The next opportunity to do the Reva mission won't be for a five-ish days.
TW has already started so you can't use him now.
GAC has already started. Can't use him there either.
There is no assault battle that need the inques running right now.
No GC that needs the inques at the moment.
Only place you could is the Arena, which nobody really cares about too too much and of course, there is...
Conquest, which will be over in two days. So yeah, I guess if you needed the GI to help with the purge feats, yesterday would have been nice.
All in all, so long as players get a chance to get him a day or so before the next Reva mission, I don't see much of an issue waiting until next week. (Monday would be nice CG, just saying.)