I wish that were true, but sadly it isn't. Christians can be trolls. Fallacy of No True Scotsman.
I've found that when you look really close, that isn't applicable. We aren't just ignoring the wrongs of actual believers, Christians, and pretending such do not exist -- so it's not the norm even if it applies. But more, we can look even deeper at this putative 'fallacy' and critically examine the 'no true scotsman' idea and whether it applies even sometimes (instead of occasionally).
Example: I personally advocate a free market, free enterprise system with moderate regulation, just like the U.S. currently has. But what if I decided I would also try to claim to be "socialist", and that my own views should be what "socialism" is now? (Maybe I could make some argument, like "this is the real socialism" etc.)
See? I could claim to be a "socialist" though actually very much opposed to actual 'socialism' as the word has always been used.
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Merely saying I am does not really make me one, unless we just empty words of their definition, and replace their definitions with simply whatever-anyone-claims.
Like I could just redefine "socialism"...
"Socialism -- once an idea that 'a political and economic theory of social organization that advocates that the means of production, distribution, and exchange should be owned or regulated by the community as a whole', but now meaning instead simply whoever says they are, no matter what views they hold; e.g. -- Socialism in modern form is to advocate for a state that has only military and courts and zero additional functions of government, but makes people rely on their neighbor's generosity or suffer without that."
We'd most all agree that's not a good way to define a term, like "socialism", but instead that "socialists" are those that at least mostly agree with the original definition or a clearly similar system largely following the initial impulse of older socialism.
Therefore, I think we definitely can keep the term "Christian" as being a group of people that largely agree with/believe in Christ's teachings, and not for example equally applied to a group that explicitly says the opposite in several ways of His teachings.
For instance, even if a new church started preaching that "we should love our neighbor, but definitely hate our enemies", and this is 'Christianity' the right way, etc., I will simply insist it isn't in accord with Christ's teachings, and won't worry if some opponents of Christianity in general try to throw the 'no true Scotsman' nonsense at me.