Conventional wisdom says that masters programs do not do much to augment your application's success. If you're doing it to make up for weaknesses in your application, this will probably not do much to help you.
As for MPH's, these seem pretty different from an MPH degree. I'm likely getting an MPH and most MPH's have heavy statistics/epidemiology training that those two programs likely won't compare to. While there is probably a course or two on healthcare history, that is unlikely comprise that much of your training (with perhaps a bit more if you concentrate in policy and administration). There are a lot of MPH programs that have a "social sciences" division that might follow some similar principles to what you'll study in the anthropology course but from what I know about both, I would not expect there to be as much overlap.
That said, that doesn't at all mean those wouldn't be worthwhile gap year pursuits. Provided that you application is otherwise strong, studying in the UK in medically related masters programs will certainly satisfy almost any adcom wondering what you did with your year off. However, taking only one year, you'll not even be 1 third of the way through these programs by the time your applications are submitted so it likely won't be considered that much in assessing the strength of your application. I hope this was helpful.
