Without known reason or cause.
"God of the Gaps" would apply if the people hadn't prayed, had experienced spontaneous remission, and, lacking any naturalistic explanation, had then ex post facto attributed the change in health to "God", as an attempt to have *something* to account for it.
In the cases in question, people knew all about the condition, were told that it was "hopeless" (i.e. there *is no* naturalistic way this will go away, as opposed to "we don't happen to know how or why"), and then prayed.
And following the prayers, saw what they had been told was impossible, happen anyway.
Nice try, though.
Incidentally, the point raised above still stands. If you do maintain that these phenomena remain natuaralistic in essence then, since these recoveries by definition seem to overcome "terminal" conditions and/or "hopeless" cases, shouldn't we be focusing a disproportionate research effort into investigating them in order to uncover the natural mechanisms at work, the better to make use of them?
"Science exists to predict and to control nature".
Cheers!
...oh, and Merry Christmas.