Actually, I think wasd-f makes more sense. I can reach more additional keys with the index fingers. Pinkies are shorter and less dexterous. Do people think it is better to use their 3 strong fingers for movement? Is this a domination thing for fingers, instead for hands? It should not make a difference, if you are left or right dominant. You hands do whatever your train them to. And typing with 10 fingers already uses the fingers of both hands quite equally.
Maybe it was because the devs of old thought they needed to use keys such as tab or shift. Maybe it was so that the thumb was nearer ctrl and alt.
Remapping your arrow keys should work without a 3rd party tool, if you do it system wide. There seem to be tools that can do that per app, but not all those things are free.