LO is where all the active OpenOffice developers went to, LO is the continuation of OO.o.
AOO is an old and unmaintained snapshot of OpenOffice, with an apparently long-broken release build process.
I don't think there should be just one office suite, or even just one open source office suite, and I don't think everyone should just use the one with the most features. Not at all. But the AOO situation is just tricking people unfamiliar with it, to use the OO.o from 3 years ago instead of the OO.o with security and other fixes, and updates for compatibility with new operating systems (and new features which may or may not be desired).
If you hate LO developers or project, maybe you have some good reasons, and you should be able to work on a competitor based on whatever open-source code base you want. But the right thing to do at this point is abandon the "OpenOffice" name. Random people looking for "OpenOffice" need to be confronted with the fact that there are now two forks, LibreOffice and something else. And, at least for today, they should definitely choose LibreOffice.