Maeve, with all due respect the system described by the phrase "the three-legged stool" has been debunked by Anglicans, at least here and here and especially here.
From Kendall Harmon in the last:
First, Richard Hooker never spoke about a stool with three legs. The correct quote is: "What Scripture doth plainly deliver, to that the first place both of credit and obedience is due; the next whereunto, is what any man can necessarily conclude by force of Reason; after this, the voice of the church succeedeth" (Laws of Ecclesiastical Polity, Vol. 5). It ought to get our curiosity up that Hooker not only doesn't use the image of the stool, but when he discusses the threesome at all it is in a different order than nearly all of those who claim the existence of such a stool.
Also, the debunking you cite by the blogboys et. al. is extraordinarily unconvincing. I say this as an outsider looking at a group of people struggling to find an authority who can stop the tidal wave of insanity. You all have my prayers.