I want to put a better backlight in my A158W. Internally F-91W and A158W are same.
When I did this mod, I soldered the LED on its side, so that it shone directly onto the LCD. This made the watch face much brighter.
On reflection, the similar variant of the watch with an EL display is vastly superior. The A168 is similar to the A158 you mentioned but with a better light.
I recently fitted one on my F91-W and it certainly makes a difference, but it's not going to make the light brighter like some of the other LED mods people have done.