Perhaps if I ran Windows, I'd use LR exclusively. But I'm not a fan of Adobe's UI on the Mac. I tolerate it for CS6 because there's no other option. I prefer the native UI of Aperture.
Since this thread is about distortion, I'll point out one more DxO advantage - volume anamorphosis correction. Both barrel distortion and the normal corrections for it alter the shape of common objects at the edges of the frame. It's often very noticeable with people - very few subjects appreciate the 'weight gain' from barrel distortion correction at the edges. You can dial down the distortion correction to restore their proportions, but then you're back with curved lines. That's where DxO's volume anamorphosis corrections come in. The presets are very good, and as presets, just one click to use.
Worth noting that while LR can't perform that sort of correction, DxO offers a subset of geometric corrections, including volume anamorphosis, as DxO ViewPoint - and it's available as a plugin for LR.