If LO gets the trademark, maybe make the name "OpenOffice" refer to "the stable channel of LibreOffice". Corporate IT and training would likely prefer an office suite that only gets feature-updates every 1-2 years. So make OpenOffice a very stable version that just gets bugfix updates, but then a big feature update every couple of years, ala MS Office.
And LibreOffice could remain for the rest of us who don't mind getting new features every month or so.