What I want to know is how much do skills influence ability and how much do perks influence ability.
Skill value, influence ability subtly, while perks influence ability drastically. for example a One Handed skill of 30 will make you do slightly more damage with one handed weapons, than a One Handed skill of 25, but the perks inside the One Handed skill allows for massive increase in damage, and completely new abilities, such as decapitation, higher chance of critical strikes, and paralyzing strikes.