There are different approaches to pushing. There are zone system disciples, who use it for contrast control. If only the straight line part of the H&D curve is used in printing, then yes, HP5+ and Acros behave the same. Delta 3200, on the other side, has a pronounced shoulder, which becomes even more pronounced with pushing.
Then there are folks who use pushing to increase effective film speed, which in their case means: reduce the amount of light needed to create discernible image matter. These folks care mostly about the toe part of the H&D curve, and how it can be affected by pushing. For these folks Acros is similar to Delta 3200, but very different from HP5+. Unlike Acros and Delta 3200, HP5+ has a long toe, and increasing toe contrast by pushing extends usable EI, assuming overall contrast is controlled by other means (dodging&burning, hybrid techniques).