The preferred licence is MPL which is, from my non-lawyer perspective, apparently a very weak copyleft licence.
The only reason LO is (at present) an LGPL3-only project, is because that is licence on the code they forked from Oracle. What effect any licence change from Oracle's LGPL3 to ASL will have, I don't know, but if ASL and MPL are compatible then there'll probably be a very rapid convergence - in both directions - between OO and LO.