PLEASE - this is incorrect and confusing.
What XLR?
It is totally stupid to use "XLR" generically like this and dangerous.
4-pin XLRs normally carry DC voltages.
5-pin XLRs are normally 2-channel stereo signals.
6-pin and 7-pin XLRs are normally either multi-channel or carry audio + DC voltages
XLR-LNE connectors carry mains voltages
3-pin XLRs are about 50/50 single-channel audio (but could be mic. or line level) and 2-channel AES-3 - but could also be AES42.
What you say as "the vast majority of XLR connectors are carrying a single channel of balanced audio" could only deemed to be true if you stipulate 3-pin XLRs - and there you are only half true.
It's very important to be correct and accurate, or someone without fully understanding could take a 4-pin XLR and stuff DC voltages where they are not supposed to go!
John, if anyone is confusing a poor newbie on this forum it is you and I wish you would stop.
In an HR context probably 99.999% of XLRs are the three pin variety and carrying a balanced audio signal. This is usually mic level but I'm frequently at pains to point out that, particularly with high end and/or broadcast equipment, it's fairly normal to use the XLR-3 for line level as well.
It's far from "stupid" to refer to XLR and mean the 3 pin variety, particularly in this forum which is not involved in DMX, 12 volt supplies to broadcast gear and so on. Actually it's not just this forum. Walk into any professional audio set up, studio, broadcast, location recording, etc. and you'll find all the engineers simple referring to XLRs with the XLR-3F or XLR-3M assumed. About the only time the full designation is used is when you're ordering parts. On the other hand, the other variants are almost always referred to in detail to avoid confusion.
Oh, and I was responsible for having XLR-LNE connectors from a facility I worked in when it became known that the plastic shrouds could pull out too easily causing a danger of electrical shock.
Your contention that some 50% of XLR-3 connectors in use around the world is carrying AES audio is ludicrous in the extreme. The penetration of AES digital is simply not that great when compared to all the analogue uses out there. (Just as an aside, the local theatre where I do occasional shifts has a 56 channel Midas Pro6. There are about 150 inputs on digital stage boxes fed via CAT5 to the mixer and software patchable. The same mixer has only 1 AES in and 1 AES out--and even this is presently unused. This is pretty typical of venues, both live and studio, that I've worked in.
Yes, it's important to be accurate. However, it's also important not to allow your pedantry to take a simple question and complicate the answer to much it's useless to the inexperienced people in here who are looking for a very basic level of guidance.
Please don't try to impress me or get into a pissing match with your great level of theoretical knowledge. I've probably forgotten more about engineering that you've ever known.