I agree about your football analysis but don't agree about the game theory.
To answer the question briefly, there are indications in the game itself that show that footedness probably matters
As we have non official answer from nordeus devs and no member/player managed so far to prove something like this (or at least to have some clue), I consider this as just some scenario.
The guide Duncton mentioned is very good but as in the other good guides, some things are arbitraries.
In one season for example, I wanted to stay in the same league with a reserve team and I set my 2nd GK to kick the corners and fouls.
He wasn't good at F-K but he had some assists from C-K.

After all, it's a simple game , doesn't need so much analysis but I like it this way.
The strong point is the "human" factor (like the stories of my thread about the manipulation of CH.L., you know )