(1) Informal logical fallacies, just as the “No True Scotsman” are only fallacious IN SOME CASES. That’s what makes them INFORMAL: they are fallacious by content, on a case by case basis, and NOT BY FORM. Otherwise they’d be FORMAL fallacies.
(2) The “No True Scotsman,” as a material fallacy, doesn’t work in all cases. Religious teachings, ideologies, and articulated worldviews are one place it DOES NOT WORK.
Flew made it up with an eye to religion, but that is one place it fails.
If you say a Muslim, Ali, is an atheist, everyone acts rationally to reply that Ali is “not a true Muslim.”
Being an atheist EXCLUDES Ali being a Muslim, so if Ali is an “atheist Muslim” he is NO TRUE MUSLIM.
That is, in fact, what Christian heretics are, by definition: those who claim to be Christian, but are not, because they do not believe what Christianity teaches.
Formally, it teaches what Christ taught the Apostles and what they taught the Church.
That is what the term “Christianity” MEANS. It does not mean “Whatever thing anyone happens to think it does.”
There is, in fact, A teaching.
Why shouldn’t we?
“Scientific racism” and an appeal to evolution were commonplace in the late 19th century and early 20th century.
B: “NO TRUE SCOTSMAN!”
If you use the “No True Scotsman” this way, it entails that the claim “X is not a Y” is always fallacious.
A: “No 5-year-olds are 10-year-olds.”
B: “This 5-year-old is a 10-year-old.”
A: “No, he can’t truly be both.”
B: "NO TRUE SCOTSMAN!"
Just because someone was raised in some wacky fringe religious group calling itself “Christian,” and at some point realized it WAS a wacky fringe teaching, does not justify dismissing Christianity as such.
They never knew it.