Lukvance, I have told you what it would take for me to accept that a study of a miracle healing was done scientifically.
Basically, the scientific method only asks people to be really, really careful about:
1) identifying assumptions and defining terms,
2) accepting that any explanation is wrong until the data shows otherwise
3) making observations, classifying or counting what they have observed,
4) having someone else check their work as objectively as possible, and
5) doing the same things over and over to see if you get the same results.
I have given very detailed and carefully worded guidelines explaining what a scientific examination of miracle healings would have to minimally entail, for the benefit of people who might be thinking that what you say about the Higgs Boson has any merit.
I have described how and why studies use control groups and treatment groups, and why the study should be "blind" that is, the people involved in the study (researchers and group members) should not know what group is what until after examining the data and making conclusions. I even found you a study using control groups to give you a real life example. Control groups help keep the researchers honest; if they only look at the treatment group, they are more likely to count "hits" that are not really there. By comparing two groups, you can isolate the variable that made them different and see if it actually had an effect.
But none of that seems to make any impact on you, Lukvance. You have not produced anything to show that the Catholic church is even minimally scientific: being as objective about what they might find as possible, making no unwarranted assumptions about who or what did the healing, using control groups for comparison, applying statistical testing to the outcomes, and having other people check the data. In fact, you do not even know that a sample size of one
(a woman with a paralyzed hand can now move it) does not give you enough information and is therefore almost never used in real medical research.
The Catholic church cannot be an objective participant in such research, because by definition
the existence of the Catholic god, who has healing powers and who manifests these powers at places like Lourdes must be assumed before any research is undertaken
! Furthermore, the church uses supernatural methods (prayer) to ascertain whether a particular god did a miracle or not. In other words, the church asks the god they believe in if he did the miracle. This is about as far from the scientific method as it gets.
If the Catholic church did objective research on healings overall, and found that aliens or other gods or demons were actually responsible for more miracle healings than the Catholic god, it would have to reassess its entire purpose. Such findings would certainly threaten the church and might destroy even it entirely. Many other religions have suffered that fate when people discovered that the major ideas supporting it were unfounded. It would make perfect sense for the church to hide or distort their results for that reason.
If, on the other hand, any objective scientific research found positive evidence that aliens, gods of any kind including the Catholic one, or demons were doing miracle healings, it would not destroy science. On the contrary, that would open up all kinds of new, exciting avenues of research. Scientists would not want to hide those findings from the world. I can't imagine any scientist turning down the opportunity to be the first to prove the existence of aliens, gods or demons!