diff -u a/org-rename-link.el b/org-rename-link.el

--- a/org-rename-link.el	2022-03-22 12:08:45.790727092 -0300
+++ b/org-rename-link.el	2022-03-22 12:25:31.500218923 -0300
@@ -23,8 +23,11 @@
 (defun my-org-replace-link-file (from to)
   (save-excursion
     (goto-char (point-min))
-    (while (re-search-forward org-bracket-link-regexp nil t)
-      (cond ((string-match-p (concat "attachment:" from) (match-string 1))
-             (replace-match (concat "[[attachment:" to "]]")))
-            ((string-match-p from (match-string 1))
-             (replace-match (concat "[[file:" to "]]")))))))
+    (while (re-search-forward org-link-bracket-re nil t)
+      (replace-match
+       (cond
+        ((string-match-p (format "^attachment:%s\\'" from) (match-string 1))
+         (format "attachment:%s" (file-name-nondirectory to)))
+        ((string-match-p (format "^file.*:%s\\'" from) (match-string 1))
+         (format "file:%s" to)))
+       nil nil nil 1))))

Diff finished.  Tue Mar 22 12:26:56 2022