Actually, you may wish to double check your facts as well. A wish supporter is something I use often to heal my team in doubles. 

[u]Turn one[/u] - Wish supporter uses Wish. (Like I have a Chansey Wish supporter in ORAS for Double Battles)

[u]Turn two[/u] - Wish supporter gets switched out, and the Pokemon that gets swapped in catches the heal at the end of the turn. (Since Chansey's health is ridiculous, it's practically a full heal for almost any kind of sweeper as Wish is half of the User's health, not the recipient.)

That being said, Heal Pulse also heals others, but I forgot. My apologies on that. ._.;

So...

Heal Pulse
Helping Hand
Substitute
Swift

Is that agreeable?