How to make C-w call `vertico-directory-delete-char` in `find-file`?

User Support
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#1

What happened?

I’m trying to get C-w to function the same as DEL when using vertico and find-file.

What did you expect to happen?

If I’m on the last character of a directory, it should go up a directory as DEL does.

Steps to reproduce

Steps from C-h l view-lossage:

SPC f f                    ;; find-file
 C-w                        ;; doom/delete-backward-word
 C-w                        ;; doom/delete-backward-word
 C-w                        ;; doom/delete-backward-word
 <up>                       ;; vertico-previous
 `                          ;; self-insert-command
 <backspace>                ;; vertico-directory-delete-char
 ~                          ;; self-insert-command
 /                          ;; self-insert-command
 .                          ;; self-insert-command
 d                          ;; self-insert-command
 o                          ;; self-insert-command
 o                          ;; self-insert-command
 m                          ;; self-insert-command
 <tab>                      ;; vertico-insert
 <backspace>                ;; vertico-directory-delete-char
 <escape>                   ;; abort-recursive-edit

I’ve attempted the code inspired by a previous post:

(map! :after vertico
      :map vertico-map
      "C-w" #'vertico-directory-delete-char)

System information

Here’s the doom info on pastebin.

#2
#3