Did Battera really have to clear the game to save his lover?
Okay I know this is a long shot but hear me out. So in order to enter greed island you need to use nen while holding a console containing the Greed island game, but I think there is a very large possibility that the game doesn't require you to direct nen into the console, I think it just checks if your nen pores are activated fully.
We know that forcefully activating somebody else's nen pores is possible due to wing doing it to killua and gon so my theory is that:
If somebody did the same as Wing, activated Battera's lover's nen, then moved her hand onto the console and made her enter the game. Then a person who has the Angel's breath card also enters the game and uses the card on her.
This would be faster than clearing the entire game and it would give you a possible extra slot for a different card (unless you still pick angel's breath)
What do you think?