Also I remind you, literally every example you could ever give in favour of Power over Skill, means that your exemplar for Power actually has to be skilled in using their power, no matter the scale of their power.
Skill is dependent on the individual though. Human Oscar had a whopping 74 skill, but no power. An MC with 74 power and 0 skill would demolish this Oscar; There's just nothing he could possibly do.
Even outside of the game, skill is just basically how good you use what you have, being power. Because of that, skill is conditional, dependent on power, while power is absolute. It doesn't rely on something else to have an effect.
You can have all the skill in the world, but without any way to express it, what can you even do? Imagine you were born so skilled that you recreated humanity's progress in martial arts yourself by the time you were two weeks old... what could you even do? You're so weak, weigh so little, that your attacks would do positively nothing. You'd have to grow up to increase your power enough to start capitalizing on your skill.
Mastery is earned, while power is intrinsic. Not in the sense that it never grows necessarily, but in the sense that it's always there. Back to the baby example, imagine you were born super unskilled, but with the strength of a giant. even then, your sheer physical abilities would bring you much more benefit than martial skill, at least in a fight.
And quite frankly, increasing your skill is easier the more power you have, since there's more to master, but the opposite isn't necessarily true.