Its not just the throw... its also the lever pivot, and mechanical action.
If you have a short throw base, but a tall handle, you still end up with longer travel... when put against the same setup with a shorter balltop handle.
Many of the trigger stick games had additional control panel buttons you could use as an alternative.
Also note, many trigger sticks have a lot more resistance and friction. This is because they have to install stronger springs to combat the added weight, and mechanical advantage of the lever... to keep the stick returning to center properly... as well as to maintain the proper feel. As if its too loose.. it may lead to accidental actions.
Regarding rapidfire, using tron as an example. .. in the later level MCP rounds, you need to have crazy trigger skills to beat them. Note, that the trigger needs to be a real leafswitch for rapidfire potential output. Another good ex. Is Satans Hollow... when you get double or triple guns, and get dive bombed by 30 enemies in a long string...
Many trigger stick games didnt require fast dodging... so the throw wasnt a problem. Unlike an example game of Robotron, is where fractions of a second reaction time, really makes a huge difference.
2d Shumps are just not suited well to a trigger stick.. even if it looks and or feels cool. A shorter handle will always out-perform them.