Square wave overshoot

Mixing other transistor types can also reduce overshoot. e.g. using MJE340/350 for Q5/Q13 instead of BD139/140.
Or keeping BD139/140 but using other output transistors, like 2SA1294/2SC3263, just to give an example.

Hi catd- you have a lot of experience here. Can you possibly explain for my education the rational of the above statement? What datasheet qualities are you looking at and what effect/strategy is in mind?