BetterSense:
This highlights the problem with the term "pushing".
"Pushing" really means increasing development, to increase contrast in the mid-range and highlights. It has very little to do with exposure.
If it was possible to increase the light sensitivity of the film, and increase detail in the shadows, it would be nice, but "pushing" doesn't do that.
The reason we "push" is usually because we are shooting in dim, low contrast light, and we are willing to sacrifice shadow detail in order to get usable shutter speeds. Exposure at the box speed would normally result in thin, muddy mid-tones and highlights, so we "push" the development to bring the density and contrast of those mid-tones and highlights up, and make the overall appearance of the print more pleasing.
Diafine deals with the issue in very different ways. If you are going to try Diafine, experiment first, because the way that Diafine renders contrast is quite different.
As a tool, used when the lighting conditions and nature of the subject benefit from it, Diafine can be a blessing. You just have to know when those conditions are present, and respond accordingly.
Matt
P.S. Tri-X isn't "faster" in Diafine, it just responds differently to the shadows in Diafine than TMZ