They're both better. The JL line is generally a bit tighter and a bit more defined than the old DD Velodyne.
I had a 113 on loan for a few weeks and I owned the DD18. My main speakers are Avalon Acoustics Eidolons. Using their internal EQ I never got the JL to blend with my room and speakers. Its speed and definition always drew attention. Using the Velodyne EQ on the JL helped but it just wasn't a match. Even so the JL is a beautiful well made sub.
I've since moved on to a pair of Velodyne DD-12plus which have been substantially redesigned over the original DD series.