and just to clarify percy is not equal to look in sword skill or combat he's close but he's not there yet hence he thought he beat luke by simply disarming his sword then luke knocked him down and rapidly punch him in the face, which is what makes percy realize he really has give it his all do better then even before to survive in this type of world allowing him to grow even stronger and annabeth's death only deepens that which even walker explains himself about that on how and why percy fights so differently in season 3, all pointing to why by the time of season 3 on how he has surpassed luke in terms of power and combat that pushes past against the level of lukes skill which is own hasn't reached as high yet and so much in those two category's despite everyone telling percy he can't beat thalia he actually becomes her equal.

while from season 2 that instead of having just a big leader moment he has a moment leading to him becoming in season 5 which he tells the campers through his pivotal speech about a problem coming there way and he's gonna go there and solve it and would love if they come along and help with it which they happily oblige.

s2 percy beats book percy easily and saying otherwise simply shows you need to give the show another long watch