I have only pushed one roll of Fuji Provia 400X and it was a stage dance performance. Lighting was typical for a musical or dance stage performance with a wide dynamic range and lots of colors. Here are the results.
I could probably do a bit better with another try. I feel I lost too much in the shadows but I was trying to protect the highlights so I pulled it just a bit early. In retrospect I would probably have been better off increasing the developer time a bit over recommended. I like the colors and texture of the pushed Provia 400X but Portra wins for overall IQ, shadow details, and exposure forgiveness.
Here is some pushed Portra 400 for comparison: