There is a small chance that an efreeti released by this item has the following effect:
The efreeti can cast the wish spell three times for you. It disappears when it grants the final wish or after 1 hour, and the bottle loses its magic. (— DMG 167)
Would this creature be subject to wish-related stress?
The stress of casting this spell to produce any effect other than duplicating another spell weakens you. After enduring that stress, each time you cast a spell until you finish a long rest, you take 1d10 necrotic damage per level of that spell. This damage can't be reduced or prevented in any way. In addition, your Strength drops to 3, if it isn't 3 or lower already, for 2d4 days. For each of those days that you spend resting and doing nothing more than light activity, your remaining recovery time decreases by 2 days. Finally, there is a 33 percent
chance that you are unable to cast wish ever again if you suffer this stress.
(— PHB 289)
If so, there would be more than a 70% (19/27) chance that the Efreeti becomes incapable of casting wish if given three wishes that trigger this stress to grant.
Best Answer
Maybe, but the efreeti bottle still works as written
Specific beats general, and the rules surrounding the efreeti bottle specifically state under what conditions the efreeti no longer grants the owner wishes, as you quoted above. Thus, the efreeti doesn't suffer an effect that would prevent it from fulfilling its services before it disappears (after casting the wish spell three times or after 1 hour, whichever is first).