Both techniques (Lightbox's and JPC's) are similar in that they use painting in screen and multiply blend modes to lighten and darken.
I've tried Lightbox's action (thanks for posting), but I find it crude compared to my more usual technique of painting on masked curves adjustment layers. With curves you can much better target which tonalities get adjusted. And by setting the curves to luminosity blend, saturation shifts are avoided.
The Solar curve concept is new to me - seems like a good way to track down dust spots.
(I prefer Skyports to Pocket Wizards.)
If you're going down this rabbit trail of complex dodging/burning, here's another option. Use curves adjustment layer with a luminosity mask, then place that layer into a layer group and add a mask to the layer group.
Luminosity masks use the image itself to select tonal ranges within that image, ie. masking so that only the highlights are affected or only the shadows are affected. Then you use the curves adjustment layer to make your desired adjustment, ie opening shadows and adding contrast at the same time, or pulling back highlights without affecting midtones.
The luminosity mask allows the curve to only affect that certain specified range of tones, but it still affects the entire image area. So, after you've made your global adjustments you create a new layer group, drop your curves adjustment layer into that group, add a mask to the layer group, then invert the mask. You can then use a brush to paint in the luminosity masked curves adjustment only into those areas of the photo that you want. Sounds complicated, but it's not that hard in practice and gives an amazing amount of control.
If you want to learn more about luminosity masks, google Tony Kuyper and you can read up on how to create an action to make them. Or drop me an email and I can send an action I created.