I'm 99.9% sure they both are LGPL compatible. Think of it this way: the LGPL allows linking with proprietary programs given you distribute the object files so the user can relink the program if they wish. Now we are distributing those "proprietary" bits in source form (let's ignore the fact they are BSD licensed for a moment) so the user can rebuild the whole thing still. Hence there shouldn't be a problem with something that is more free than proprietary object files.  I could dig up an RMS talk that confirms this if you want some more proof.