Whilst "No True Scotsman" is a logical fallacy it doesn't mean that a Scotsman would actually wear an England shirt at Murrayfield on a match day. That is it is not a logical proof but that does not mean that the assertion it counters is false. Just FWIW.
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You're engaging in a textbook No True Scotsman fallacy.
Please note that we are talking about religious organisations here, not religions (the latter of which we can argue about until the cows come home)
Whilst "No True Scotsman" is a logical fallacy it doesn't mean that a Scotsman would actually wear an England shirt at Murrayfield on a match day. That is it is not a logical proof but that does not mean that the assertion it counters is false. Just FWIW.