I think if there weren't so many song and movie titles that omit the g intentionally, it probably wouldn't have been such a huge issue (like "Singin' in the Rain" as one of the most well-known). Contestants are also verbally told before the show that they must enunciate each word properly for the win. If they've upheld the rule in the past, they had no choice but to uphold it again, even though she clearly knew the word ended in g and had it on the board.
I also think if she wasn't in the military the uproar over this wouldn't have been so huge either. If it happened to a regular citizen, everyone probably would have said "poor hick" and moved on.
It's still no reason to not buy another Sony product. Don't watch the show again if you don't like the rules they use, but you can't really blame another division for the game show.