Dodging skillshots is an important skill when half the players on the enemy team use skillshots.
The important thing to remember is, that you aren't dodging the projectile on the screen, you're dodging the cursor of the person contrlling the enemy championg. For that reason, KEEP YOUR CURSOR NEAR YOUR CHAMPION WHEN YOU ARE DODGING SKILLSHOTS.
The enemy team has to lead your champion, and so if you keep your cursor near your own champion, you have a reaction advantage in lane, because you don't have to move your cursor as far.
Of course, it's still beneficial to have a high reaction time, but depending on the hitbox of the projectile, dodgers generally have the advantage.