So here's a bit of a high-level problem & possible workaround for the rather questionable economy the event has fashioned:
Hosting an Expert raid takes 45min of stam regen
For every Expert raid hosted, 3 people need to join, i.e. 2 x 3 x 1h = 6hrs worth of wings regen
(incidentally hosting a Special takes 0stam, and 3 wings i.e. 9hrs worth of stam regen but let's leave that aside for now and focus on Expert)
This creates an ecosystem that because of the zero-sum nature of raids, for every 45min of stam regen spent on the event, 6hrs of wings need to come from somewhere, and the top level of the playerbase is EXTREMELY wing-deprived. Even moreso when factoring Special into this, since Special drops a SHIT TON more gold badges for its wings investment.
Incidentally, I feel Cygames expected people to dump their remaining stam on other battles- HOWEVER, since most high-end folks would want to grab the limited twinkle sparks and sunstones only gold badges matter. The drawboxes also are a rather good source of rupie and mana all else being considered. The result is incredibly long waiting times trying to burn a stamina bar on hosting raids, which is then frequently ruined by idiot 4k Ezeliths/etc joining, readying up and sitting there. Doing this regularly in a group of 4 doesn't quite help either since, again, if everyone hosted once and joined the other 3's raids, you'd empty your wings and only spend 15 stam.
***HYPOTHETICAL TERRITORY ***
What I'm going to attempt do, which requires a sufficient power level (say, touching 9k water team and a 2.8-3k main) is pair up with someone, join each other's raids, then retreat right before the boss dies. Duo takes turns hosting. The host gets host loot, the other gets no loot but had no cost. This:
+ allows the duo to infinitely burn stam at no wing cost, alleviating the massive resource discrepancy that the event generated
+ generally is faster to get a host->kill going since two geared folks should be able to take down Expert regardless if the other two slots are bad 5k Ezeliths, but on top of that geared folk are more likely to stay when joining a room with 2 9k water mains already in it
+ allows ALL wing regen to go into joining pub Specials for more loot
- takes twice as long to get the same amount of loot, albeit probably still faster than waiting around with a hosted room
- requires 2 wings available to make this work (even though they get refunded) which is vastly inconvenient when factoring in joining Specials, etc.
- rhythm can get broken by a Special proccing because whoever procced it probably wants to host it ASAP
This is operating on the assumption there isn't some kind of cap on how much you can retreat before it starts deducting wings anyway, etc. AFAIK right now the entire game only ever deducts stam/wings if you complete the mission.