Others, though, may prefer them to be written with their least signicant bit on the left - left to right style.
That would be bizzare. We don't write numbers in left to right significantness (e.g. two-hundred and thirty-seven isn't 732) and your processor doesn't expect that for binary either.
[RFC791] is one I came across, recently. Section 3, header ASCII art, etc ... :O
Now processor word-endianness is another matter entirely...
So I take it you subscribe to the notion of there being too many chiefs, and not enough endians, then ...