I reckon the games which forced you to use the keyboard most on an Amiga were flight sims. Tornado ADV was certainly overboard in that respect. Had some nice detailed scenes in it too. I guess most 3D games had something to show, and they mostly used analogue joysticks as well as mouse.
Some had rudder foot controls mapped to a joystick, so you could use foot controls.
But yeah, I think the Amiga... was just terrible for letting you remap controls. Not very reliable if most people are booting from floppies, that was the issue.
If the controls are all hard set, that saves resources. Times were hard back then, resources and time spent faffing around with floppy disks just stopped you playing the game at all. Keyboard remapping has been possible with the OS for a long time, but never with games that ignore the OS. Which is 95% plus of arcade Amiga games. Precious few would go there...