I see your point, but also think we're already past the threshold where the term's ownership has moved away from the Church.
It is, for instance, rather common to believe Genesis 1 is more of an allegory than an explicit recounting of God’s work, but that does not preclude someone from accepting Christ as their Lord and choosing to live as His disciple.
I understand it goes against the very defintion of the term, but that's a thing.
I'm trying to steer away from my personal anecdotes, so for instance:
https://www.gotquestions.org/what-is-a-Christian.html
> Unfortunately over time, the word “Christian” has lost a great deal of its significance and is often used of someone who is religious or has high moral values but who may or may not be a true follower of Jesus Christ. Many people who do not believe and trust in Jesus Christ consider themselves Christians simply because they go to church or they live in a “Christian” nation.
Suit yourself but I find this reasoning cyclically brain-dead.
That's the same logic regarding any concept at that scale ("American" would be the same case, there is a tight definition, but the wider usage has almost nothing to do with it)
To me that's just how language works.