There are a number of things that Luminar AI can do, that both Adobe Photoshop and Lightroom cannot. However, to mention every aspect concerning what Luminar AI can do, that Adobe Photoshop and Lightroom can’t, may not be a worthwhile exercise. Especially as there are always new developments from both Skylum software and Adobe.
However, there are perhaps 2 things worth knowing;
Firstly, Luminar AI is non-destructive, meaning; it will always retain your original image, whereas to date, this is not the case with Adobe’s offerings..
Secondly, Luminar AI is built on the premise of making complexity simple. Unlike most tools and methods of editing using Adobe Photoshop and Lightroom. Luminar AI allows you to achieve edits by simply selecting a tool and adjusting its intensity with the use a simple slider.
This makes editing  much faster than with Adobe Photoshop and Lightroom. But here’s, the great news; Luminar AI works as both a standalone or plugin / extension app with Adobe Photoshop and Lightroom.