Try to fool the search: ead

* Head 1
  
Evaluate this:
  
#+begin_src emacs-lisp
(setq org-link-search-must-match-exact-headline nil)
#+end_src

* Head 2

Follow these links

[[file:./test2.org::*ead 2]] goes to Head 2
[[file:./test2.org::*ead]] goes to Head 1
[[file:./test2.org::*had]] fails