Where neutral is defined by whom?Language that is at least neutral.
I would suggest that it is defined by each reader, which helps writers not one jot. What you find neutral may not seem so to me, and vice versa (as we both are allowed our own particular bêtes noires**).
I suppose what it comes down to is the writer -- and their editor(s) -- doing their best to be neutral from their own perspective(s) and hoping that most of their readers agree with their decisions... and writing a story that draws the readers in to such an extent that they fail to notice (or don't care about) such linguistic anachronisms that remain (of which there are bound to be many).
Who'd be writer, eh?
** - Or be aware of the origins of different sets of words, some which stand out as anachronisms to only one of us, and others stand out as anachronisms to the other.