I've been a 'stat lover for years, and if I could have a single setup, it would be the SR-007 and LL2 (the LL2 is a much better match for the SR-007 than the original LL to my ears). However the LAu really surprised me by making the HE-6 sound like it was on a similar level. Simply put, I had never heard the HE-6 sound that good before, even with powerful speaker amps. Same with the K1000. It's not just about power, but finesse too; in that sense the LAu really has a firm grip on the transducer.
The LAu also sounds fantastic with the HD800, though personally if I were just running the HD800 I wouldn't really feel compelled to get the LAu. I'd most likely go with the Stratus or one of the offerings Eddie Current currently has in the works. Either way, the advantage the LAu has over the LL2 in my mind is variety. There's simply more selection when it comes to dynamics and planar magnetics.
I'm grateful to be in a position where I can get both the LL2 and LAu. While I tend to favor 'stats overall, I'm still very fond of planar magnetics and feel they have their own unique qualities and areas in which they excel. As Radio_head says, it's not so much either / or for me but rather one sound versus another, a side step rather than a step back or forward.