While this is true, I think the fact that the courts are notorious to favour women in child custody disputes (and really any family law issue) largely due to the perceived best interests of the child, along with the incredible wealth/income disparity between Travis and Shanna, it is really surprising that he got custody. And it's not like Shanna is a poor nobody who couldn't afford good lawyers (although I have no idea how she has spent her money over the years).
Edit - it's actually really surprising. Travis tours the world for a living, I'm surprised he got the kids.