Some people call themselves cowboys because they own a ten-gallon hat and take their fashion pick-ups to watch the rodeo. They couldn't rope a calf or ride a horse to save their lives. Some people call themselves Christian without actually having any of the values or behaviors that would actually make them Christian. That's just how life goes.
I assume that's because, just like that bloke who isn't a true Scotsman, the people in your example are not true Cowboys or Christians, right?
The "No True Scotsman Fallacy" is not actually a fallacy. It's just truth. If you don't meet the requirements to have a title, then you don't get the title. That's how it always works in real life.
It’s... I mean... I think you’re misunderstanding the fallacy.
Also, Christian is not a title. It’s not like “doctor.” There aren’t graduation requirements.
It’s a religion. If you don’t have the beliefs of the religion, then you aren’t actually a follower of it. This is basic stuff.
This whole conversation thread is all an irrelevant distraction, but I'll respond anyway.
The point of the No True Scotsman fallacy is that there
is no arbiter over what "the beliefs of the religion"
are. Except theoretically God I guess, but you cannot claim to know his opinion with any authority. The Bible? Every single denomination interprets it differently and there is no one who is in a position of authority to say who is right and who is wrong, and who is wrong enough to not count as Christian at all. You are free to have your own opinions on the subject (and I certainly have mine), but we are not authoritative in declaring that other people are not Christian. Ditto for any other religion.
Who is a
true Scotsman or who is a
true Christian is open to interpretation, because "true" is a meaningless weasel word inserted to make the statement unfalsifiable.
There are tons of people throughout Christendom who declare that X, Y or Z are not "true Christians", and none of them are authoritative. The declaration that X is not a "true Christian", while perhaps true in some unknowable sense, is never provable, and is always simply a dodge to avoid being associated with people you don't like or to convince people of something that you can't actually logically prove. It is never useful as part of an actual logical argument because your opinion is not authoritative. It is therefore
only useful as a fallacious rhetorical device.