Word-wise diff with moved contents (in Git)

Consider this old text:

aaa bbb ccc
This line moves down.
This line remains here.
So does that one.
Etc.

and this new text:

aaa bbb XXX ccc
This line remains here.
So does that one.
Etc.
This line moves down.

I’d like to show a word-wise diff (git diff --word-diff) with special highlighting to indicate that This line moves down is not simply deleted and inserted, it is the same contents that moves from one place to another. For a line-wise diff, this feature exists as git diff --color-moved. However, this option seems to have no effect on a word-wise diff.

I also tried piping the diff through delta, as advised here; to no avail, although it correctly detects moved lines produced by line-wise git-diff --color-moved. If I understand correctly, delta does not detect moved lines per se, it detects the highlighting put by git diff. So the feature has to be upstream.