The money was given to them.

How the money was earned is a civil matter between the game show and the Ingrams.

If they game show didn't like the method by which the Ingrams legally obtained the money, that's a civil matter, and it's only enforceable if the Ingrams signed something saying they couldn't do what they did.

If I gave you $20, and came back later and said "Hey bro, I didn't realize you liked college football, can I have my $20 back?"

If you don't give me the $20 back, you did not just rob me. If we had a contract signed saying the $20 was for my friend as long as they didn't like college football, he still didn't rob me, but I could sue for the $20.