I think if she becomes popular (again) in France, she'll become even more popular in Mexico. Unfortunately, the same is not true the other way around. I mean. if she becomes more popular in Mexico, it doesn't mean she'll become more popular in France.
Also, "The Voice" would have been a great platform for her to re-launch her career or promote her new album, the way Jenifer Lopez did when she joined American Idol. Plus, the income she would have gotten there wouldn't have hurt as well.
