Reading the question as rhetorical, I agree with the implication that it's hard to contrive a convincing and logically consistent interpretation of the proposal.
Taking it as a serious question, for the sake of arguement only, the proposal at the root of this thread, perhaps modified in line with some of the replies, would NOT allow anyone "to distinguish between one AM and another AM" as individual persons; it only allows a reader to determine if the AM posts are by a single, still-anonymous writer or more than one still-anonymous writer.
Or, to cite a bit of wisdom from childhood, "... names will never hurt me." And in this case, there are no links between 'actual persons' and names...AM1 and AM2 are mere labels, but because the underlying label is simply Anonymous Monk there's no nexus between Joe Bagga'Donuts (or anyone else) and any of those labels, except in the privacy of Joe's own mind.
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