I don’t know if this would be related; I was previously ascribing it to touch interface weirdness. When I change my profile pic from my iPad, the popup appears and then when I try to click the radio button, the popup goes… somewhere. It’s still open, but it’s no longer visible on my screen. I have to tilt my device to change screen orientation and then it comes back.
Edit: It also happens if I click the little refresh button first instead of the radio button.