When Butterfly Fish says
>If this card is sent to the GY to activate a monster effect: You can add this card to your hand.
Does that include monster effects from my hand, like Ice Doll?

As in, could I pitch the fish to SS Ice Doll, find another Ice Doll, return the Fish then do it again? (Noting the Fish only comes back once, so that would be the end of it.)

Or do effects like Butterfly Fish only count monster effects from the Field?