I would really like my tab key to cycle a closed heading when I am on the
ellipsis. Looking at org.el where org-cycle is defined, I see that it does
this:
  (save-excursion (beginning-of-line 1)
   (looking-at org-outline-regexp)))

So, if it were on the ellipsis, it seems like it ought to come to the
beginning of the line before check whether it is on a heading, but
apparently it doesn't. So, I am thinking that I'm not actually on the same
line that contains the heading. My C-a key is mapped to
org-beginning-of-line, which takes me from the end of the line, starting on
the ellipsis to the beginning. So, I'm wondering if the code from org-cycle
should call org-beginning-of-line instead of beginning-of-line to give me
the functionality I would like.