LibreOffice has the potential to be fully cross-platform, and it would seem to me to be to Apple's benefit to make it seriously good. The reason iPhones and iPads were able to take off is that the web (and web standards) made it possible to do most of what you do with a computer without that computer having to run Windows. Macs have benefited from that - as well as the fact that the success of the iThings has accelerated the process.
A successful LibreOffice would be the next step toward making the second biggest use of computers cross-platform. In fact, Microsoft's last best hope for success in mobile lies in the fact that Windows tablets can be bundled with MSOffice. Yes, they're coming out with iOS and Android versions - but that's just a desparation move. The minute Windows mobile devices gain some traction (or the iOS/Android versions outlive their usefulness in some other way), the non-Windows versions will become second-class. But if Libre got really good - and became available (and successful) on mobiles - iOS devices would continue to be able to compete on the merits. You'd think Apple would want to help that happen. Are they still afraid of losing the official MSOffice for the Mac? Google seems to have a difference of opinion about where document processing should happen. Much as a full-featured office suite would make Android laptops a viable - and even attractive - alternative, that doesn't seem to be their priority (though their use of Open Document formats in their online apps is helpful).
Windows will continue to dominate in the business world. There's just way too much inertia there in terms of third-party apps. But mobile (and, yes, Chromebooks) have demonstrated that the general public doesn't need or particularly want it at home. A cross-platform, full-featured office suite would just solidify that trend.