OK done some homework on this now…
Firstly, I can now see that the connector is a 3-way jack, one of those connections will be for power, and the other two for the signal and ground, so it shouldn’t be so hard to power up the device and get a multimeter onto those pins and get measuring. The power pins will be obvious, so you can begin to test the remaining pin against the ground pin. The multimeter will almost surely hold your answer… But what to test for?
According to this PDF, “A capacitor plate moving in relation to a fixed plate thus change the overall capacitance as used on Akai EVI/EWI 1000 wind synthesizer and the Yamaha BC1 breath controller.” So maybe capacitance? Perhaps this capacitance is internally converted to a voltage, or some other measurable change to the current.
I wonder if you’ve asked the guys at MIDI Solutions (from your link) about this? I doubt that they would be willing to share the information, but you can always ask… And then if they won’t tell you, then they’re obviously too busy making money to be helpful, so you can ‘rub it in’ later on when you release a DIY version of their product 
If you are better with hardware than I, you might be able to make some sense of this schematic which takes a BC3 input: http://www.tfe.umu.se/personliga/jh/simple.htm - the readme also mentions this email address for help: johan.haake@tfe.umu.se
I found a lot of useless information at http://www.patchmanmusic.com/ and http://windsynth.org/, you might be able to email them for more info…
I’ve also joined the Yahoo Group at http://launch.groups.yahoo.com/group/windcontroller/ and once my membership is approved, I will ask in the mailing list. I’m sure someone there will be able to help out, but of course there are lots of people making money from these kind of devices, so they will probably try to do their best to stop us from gaining this info. Cross your fingers!
Seeing as you haven’t had any luck with Yamaha yet, it might pay to contact them again, perhaps by a different method this time. Telephone almost always gets a preferable response, as customer service departments find it easier to be flippant in emails.
Let me know how you go… I’ll keep you posted on the Yahoo Group.