But I always thought The Button should do other things depending on what house you picked. The "cash in your multipliers" stuff is honestly never, ever worth it, and it degenerates into me telling a new player just to hit The Button when you drain for free points. I was thinking:
Stark - Instant credit for any WIC hurryup. Works once per set of WIC hurryups leading to WHC. Also can be used once per WHC to get instant credit for any shot. (I'd also add that the WIC hurryups should reset such that WHC is not just a "once-per-Iron-Throne" thing.)
Baratheon - Instant credit for any shot during Wall. Works once per Wall.
Lannister - Credit for all standups, granting you the gold and lighting mystery immediately (once per ball).
Tyrell - Max out combo multipliers for your next shot (once per ball).
Martell - Unchanged.
Greyjoy will incorporate all the above functionality. In the event you could theoretically collect 2 or more awards (e.g. a Wall jackpot and add-a-ball), you just get them both at once. The Button collects whatever it can, and perhaps the colors will pulse to indicate what you'll get when you hit it.