Whoa, something is really going wrong with the color clipping in that Lightroom example! That shouldn't happen, because Lightroom uses a very wide gamut working space (ProPhotoRGB) and uses proper rendering intents to avoid negative effects of color clipping upon output.
This image is a good example of an image where color management makes a visible difference.
In a lot of photography, what happens when a highly saturated color clips makes little visible difference. However, in this photo large portions of the visible image show highly saturated color that is also high intensity, the very situation where color is going to clip and shift colors.
The highlights are blown out in both examples. The difference is in how the highly saturated colors are being handled.
In the in-camera example, highly saturated blue with a small amount of pink is clipping where it becomes brighter, and color shifting into deep magenta first, then into white as it becomes even brighter. This is what you'd expect from a reasonable narrow working color space with simple arithmetic. This color shift kind of gives a cool effect, because the deep magenta in the top of the photo looks cool. But it has a negative effect, which can be seen, for example, on the woman's face around her hairline where the color shift does unnatural things to her skin at the top of her forehead. This problem does not occur in the bottom (Lightroom) example, where her face does not suffer this problem.
In the Lightroom example, Lightroom's color management is guarding against color shift, so large areas which shifted to magenta in the previous example are not shifting color anymore, only becoming lighter towards white but retaining the same hue.
However, something is going wrong at a certain intensity of light, where suddenly it's become dark purple! This is a glitch somewhere, and it's not clear where.
It could be something in the way that you're boosting contrast or saturation. If you back off either of these is there a point where the dark purple band goes away?
What about white point, can you adjust the white point in lightroom? Is it highlight reconstruction gone wonky?
As a general troubleshooting step, can you progressively relax certain adjustments in Lightroom towards neutral until you reach a point where the dark purple band disappears? Including contrast/tone curves.