When I placed a bounty on this question, I was hoping to get an answer specifically to O.P. Sam Kauffman's edit... "how about if we consider just one of the major publishers? Do they have an internal standard?".
I'd like to see how the symbols are used together in practice, rather than just randomly picking from all the possible representations for each type of chord. I can't find any real examples of such standards, so I did a little survey of the books on my shelf (most of which are NOT jazz), and added a column for MuseScore, which is the only notation editing program I could find that claims to have any kind of 'standard' symbols for jazz.
I included the chords that seem to have the most variation in representation. I ignored extensions, which generally follow the same format as the 7 (though often in parentheses).
From this mini-survey, and a few quick Google searches, it seems that Jazz scores tend more toward using the symbols (-, △, ø, and ⚬), while other styles tend toward the more textual (m, maj7, m7♭5, and dim).
While I found varying styles from the same publisher (even sometimes within the same book), I did see some consistency in the Hal Leonard books, where at least the symbols for the most common chords seemed to adhere to an internal standard.
