gosh...It is never my intention to insult anyone, but merely to critique ideas. Let me think of how to approach an answer. I think it may basically involve a difference of opinion of the definition of 'science' and some other confusions about semantics. There are many learned papers written on the topic of just what it MEANS to have a valid test and to use non-ambiguous language in designing the test.....and all this is before we debate the place of various statistics involved.
When you say "...querying the possibility or appropriateness of the scientific method..." I suppose I'd ask what other ways it is possible to test claims if not by the scientific method. I know of a couple, such as 'polling of folks who have had successes' but that hardly seems a good test.

   A real discussion of these issues would involve hours of 'live' discussions, with back-and-forth clarification of terms.
   

(The other thread is a link to a 'general' collection of varied silliness, which then note some quite extreme examples of Astrological attempts. If you look at them, they go way beyond the standard claims.)