GIT_WORK_TREE=dir git ls-files --deleted

Hello

git ls-files --deleted seams to be broken when GIT_WORK_TREE is set as
can be observed below.

Instead of just showing deleted files it also shows at least unchanged
and modified files.

I have observed this behaviour with git.git and do not know if
released versions are affected.

#### setup

$ mkdir -p base/worktree
$ cd base/
$ export GIT_DIR=/tmp/base/.git
$ export GIT_WORK_TREE=/tmp/base/worktree
$ git init
Initialized empty Git repository in /tmp/base/.git/
$ touch worktree/deleted worktree/modified worktree/unchanged
$ git add .
$ git commit -m init
[master (root-commit) f4e1bd3] init
 0 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 deleted
 create mode 100644 modified
 create mode 100644 unchanged
$ rm worktree/deleted
$ echo modified > worktree/modified

#### expected result

$ git ls-files --deleted
deleted

#### actual result

$ git ls-files --deleted
deleted
modified
unchanged

#### untracked and out-of-worktree seam to be fine

$ touch worktree/untracked
$ touch not-in-worktree
$ git ls-files --deleted
deleted
modified
unchanged

#### related options / commands seam to be fine

$ git ls-files --modified
deleted
modified
$ git ls-files --others
$ git ls-files --cached
deleted
modified
unchanged
$ git status
# On branch master
# Changed but not updated:
#   (use "git add/rm <file>..." to update what will be committed)
#   (use "git checkout -- <file>..." to discard changes in working directory)
#
#       deleted:    deleted
#       modified:   modified
#
no changes added to commit (use "git add" and/or "git commit -a")

Best regards,

-- Jonas Bernoulli

Ps: Is there a way to show modified files excluding deleted files
other than this?
( git ls-files --deleted; git ls-files --modified ) | uniq --unique
Pps: The description of --others is ambitious, what is "other files"?