Well, from a design viewpoint, it would require the riggers and animators of the game to implement these new walking animations for each and every champion, and I think that it would be more work than Riot would be willing to put in.
Next, such an idea could go against a champion's thematic.
Example:
- Battle-Hardened Commander/General. He's skilled in the art of war, a veteran of combat.
But if your change was to be implemented, instead of making the firm, confident strides he normally makes, he would be strolling around like he were an effeminate weakling (Which Darius, according to lore, is HARDLY SUCH A PERSON).
I'm not trying to bash you or put you down for the idea, it's just that I don't think it would work in this game, from a design-viewpoint or a story-viewpoint.