No one else has answered so I will give a try. Short answer, no. Longer answer the keyboard is an Arduino sketch and you can modify it as you want. Maybe there is a linux way to change the game buttons to something else but I am not aware of it.
I am looking to make some changes myself. In particular I want to change the ball click to left click and remap middle click to something else.
Did it catch game buttons in your environment(tty0)?
Yes. There are different input devices for different keyboard parts. And they could have different names on different systems. ‘/dev/input/event5’ was for ABXY on the stock Raspbian that I had at the time. And LR were on event4 I think. And now I have different mapping on Debian 12, but the method works without any issues.
I’ve checked it again and was able to catch events from the qwerty part, the arrows, LR, ABXY and even BTN_MIDDLE (which is the button under the trackball).