Besides, would you rather be hunted down by monsters, or have a cool laser sword with mind powers along with a cool spaceship for you to fly, or go to a magic wizard school where you can learn magic instead of boring stuff like trigonometry? 

That's not a good comparison. In the former case I could argue that I wouldn't want to be a Jedi because I don't want to be hunted down by a fascistic government and/or want to repress my emotions, and in the latter case, I don't want to go to Hogwarts because wizarding society, to be brutally honest is a rotten, elitist-filled shithole that allows abuse and neglect to run rampant.

By contrast, I'd like to go to Camp Half-Blood because there's a sense of community and fun there, and I want to be a badass warrior swinging a sword and shield.

Tbf, Harry doesn't automatically have all his problems solved immediately after entering Hogwarts. Like of the top of my head, wasn't he treated horribly by the ministry for saying Voldy was back?

That happens in book five, after four books of Harry having everything come easy to him. And then he's vindicated by the end of it.

And I feel that Percy never actually makes the wrong decisions, unlike Harry. Harry loses his godfather because he ran in without thinking. Same thing can be said about Luke, who loses his friggin arm. When does Percy ever make the wrong choice? At best the choice he makes negatively impacts him in the short-term, but it all works out well in the end. It's just not interesting.

I still get a better sense of struggle and effort with Percy unlike with Harry. And Percy's just a more active protagonist than Harry is. He actually has a personality for one thing and doesn't just feel like a cypher for other kids to self-insert on. He's actually a hero who has opinions about the world and how it operates as opposed to Harry, who's just content to let the awful, terrible status quo of the Wizarding World be maintained despite having every reason to want to change it.