I don't believe in prayer, but I also don't believe in mocking people for their beliefs when they don't concern or affect me in any way. That "study" is $2.4m garbage too, people usually have family and friends pray for them, not a bunch of strangers.
if atheists are in a terrible situation what do they do rather than pray? just sit down and cry while celebrating how powerless they are? pretty beta.
I'd typically do something concrete about my situation or just let it happen.