If a film has a short&sharp toe, it fares better during ISO speed tests. This means a manufacturer can sell a comparable emulsion with higher box speed or as same box speed with finer grain, both of which is great for marketing. These new films with short&sharp toe will fare great if exposed and developed normally, but they will not see much of a speed increase with pushing. Older style films like HP5+ will benefit more from pushing, but they start off as grain monsters already compared to TMY or Delta 400. Microphen will give a film a shorter&sharper toe than D-76/ID-11, that's where the half stop speed advantage comes from. Once you push, they'll both end up in the same ballpark.
So the main point for pushing today is either gain some small speed advantage from old fashioned film, or for the aesthetic statement. If ISO speed is your paramount concern, get the most modern emulsion which meets your speed requirement and use it with no more than one stop push. If gritty high contrast look with massive black shadows is what you are after, get HP5+ and push the hell out of it with whatever concentrated developer you can throw at it.