Eli Zaretskii <eliz@gnu.org> writes:

> I actually don't understand why, when the globalized mode is ON, it
> doesn't work in the minibuffer.  What am I missing?

define-globalized-minor-mode only adds after-change-major-mode-hook,
find-file-hook, and change-major-mode-hook.  AFAICT, the minibuffer
stays in fundamental-mode, and doesn't visit a file so none of those are
triggered.  Possible patch attached (some additional manual updates +
NEWS would be needed for define-globalized-minor-mode change).