As we see there are 2 meanings of “so-called” that can be confused or misinterpreted, of which one implies falsehood and the other doesn’t.
One. to show that something or someone is commonly designated by the name or term specified.
“Western Countries belonging to the so-called Paris club”
Two. used to express one’s view that such a name or term is inappropriate.
“she could trust him more than any of her so-called friends”
Since so-called I feel is very often used to suggest that a title for something describes a meaning that isn’t necessarily accurate, what’s another term that simply expresses that something is titled something without judgment of the title?
I would just drop the “so-called” and put the term in quotes.
Western countries belonging to the “Paris club.”
That’s often also used in the other way though.
she could trust him more than any of her “friends”
Don’t use the quote marks.
So called or quote for negative, neither for truthful/neutral statement.