I have run into a surprise with org-element-context on a link in a table.el cell. It is best illustrated here:

+---+------------+
| # | name       |
+---+------------+
| 1 | [[./test.org]] |
+---+------------+

#+BEGIN_SRC emacs-lisp :results code
(save-excursion
  (re-search-backward (concat "test." "org"))
  (org-element-context))
#+END_SRC

#+RESULTS:
#+begin_src emacs-lisp
(table
 (:begin 1463 :end 1563 :type table\.el :tblfm nil :contents-begin nil :contents-end nil :value "+---+------------+\n| # | name       |\n+---+------------+\n| 1 | [[./test.org]] |\n+---+------------+\n" :post-blank 1 :post-affiliated 1463 :parent nil))
#+end_src

I expected the element in this code to be a link, e.g. like in this next example:

 [[./test.org]]

#+BEGIN_SRC emacs-lisp :results code
(save-excursion
  (re-search-backward (concat "test." "org"))
  (org-element-context))
#+END_SRC

#+RESULTS:
#+begin_src emacs-lisp
(link
 (:type "file" :path "./test.org" :format bracket :raw-link "./test.org" :application nil :search-option nil :begin 908 :end 922 :contents-begin nil :contents-end nil :post-blank 0 :parent
(paragraph
(:begin 907 :end 924 :contents-begin 907 :contents-end 923 :post-blank 1 :post-affiliated 907 :parent nil))))
#+end_src