"whoops... "Defend" in the first sentence should be "offend"."
Well, if I read your long post correctly, your objection seems to be that "not the right people" were praying.
That's a good, testable hypothesis, theoretically. Of course, it would be impossible to make family-members NOT pray for someone if they were pre-disposed to do so.
But it might be possible to find enough subjects with loving family members who do NOT believe in intercessory prayer (perhaps from some non-Abrahamic religions?)
Anyway, if it were possible to find a sufficient sample, it seems your hypothesis COULD be tested. Perhaps the results would be different.
In this case, however, I believe this study was in response to earlier studies, also using non-loved ones, to pray for people, and those studies tentatively showed a positive effect. This study was bigger and tried to fix some of the perceived flaws in the earlier studies.
In general, do you believe intercessory prayer can have a positive effect on the prayee? And if so, can you think of a way to test that effect so we can measure its efficacy?