I'm not sure how we got off onto this tangent so thoroughly, but hey, it seems interesting. Also, I skipped over a couple of your posts that while they were good, I think your content here really gets to the point very well.
In answer to your question, no.
Breaking that down:
Please notice the assumptions that must be made in order to give a positive answer to this question. Then, compare that to the criteria I already gave, based on merely 2 Scriptures on prayer.
In short, no, that is not enough. And this is why I really expected everyone would recognize this particular study has no merit.
Those conditions do not meet even the incredibly simplified and shortened list I furnished, but 2 out of 4 ain't bad right?
Except this isn't meatloaf, horseshoes, or hand grenades. And a very basic premise here is that prayer does nothing; if anything is changed, it is the God we pray to that does the changing, which can only happen in accord with our own dominion. So usually prayer is not the only thing that needs to be done, but merely the first step.
In other words, you'd have to go back to my original statement and see that an understanding of prayer would be necessary, and the principles adhered to, before any study could be valid. And even the precursory level of understanding what's involved that I've already posted in this thread has quickly removed prayer from the realm of scientific study.
I haven't said that and right now I can't even wrap my head around these logistics,
but you do make a great point. I think pretty soon anyone that sees my posts is going to become familiar with the concept that "all Judgment has been given to the Son," if there's anyone reading this that hasn't seen me post that enough to recognize it already, that is. And your question here frames that precept very well.
So in short, yes, we are in no position to make any determinations along the lines of who might or might not be "truly righteous." Or even just plain old vanilla righteous. I'll also point out the Bible distinguishes this from Holy, and Just, and filthy. (And by inference unrighteous as well) So an absolute minimum of such 4 distinctions, which I suspect is really a continuum. (And I myself see 3 distinct separations of those who "enter Eternal Life," so I think there are WAY more than 4 distinctions along these lines) So not to confuse the issue, but the whole "heaven or hell" thing is something you have probably seen me sorta decry, and this gives you just a bit more background about that.
Jesus says we are to let the tares grow up with the wheat, because we can't tell them apart.
Now you're asking about "in the sight of men," which is 100% irrelevant! Esp wrt a (supposed) "research study" on prayer. In God's sight, He can see those whom He will listen to, embrace as His own, defend as the apple of His eye, and search to and fro throughout the Earth to show Himself strong on their behalf!