>>30445077If you have something with Synchronize in the first slot of your party, fainted or not, wild Pokemon will have their nature 50% of the time, including Legendaries. Gift Pokemon (but not Mystery Gift) will have it 100% of the time.
In Emerald, a bunch of these out of battle effects were added to abilities, mostly on Pokemon in the front of your party. Flame Body is probably the other most useful one since it makes eggs hatch 2x as fast.