Argh! LPE stopped working again with the Java 7u40 update. As before, I've tried uninstalling and reinstalling everything and changing the installation order, but none of it has gotten things working. Until someone here has a better idea, I'm going back to 7u25. (And if my luck holds, that won't work anymore, either. )

BTW, anyone know how I can make hard links (not just shortcuts) from <~\.limewire> to <~\AppData\Roaming\LimeWire> and <~\LimeWire> to <~\Downloads\LimeWire>?