I don't think you should completely disregard telling a story in a different point of view other than the second person. Even if a story requires a lot of reader participation in the character's development throughout the story, second person still may or may not be the way to go. It all depends on what you want out of the story. How much control do you want the reader to have over the character's development? Do you want a story where the reader may embody whomever sort of person they wish or decide what person they want to be and carve out their own path and destiny? Or do you want a story about a separate character with their own personality that makes choices not because the reader wanted them to, but because they wanted to?
Having your story in the second person allows the reader to nearly embody the protagonist and choose what they want to happen. It literally sucks the reader right into the story and makes the reader a part of the story to. No other medium does that. But at the same time it can give the protagonist a lack of character. Often, the protagonist must be somewhat hollow in personality to allow readers the flexibility of embodying that character, but at the same time when that character says or does something the reader wouldn't do, the illusion is shattered and the reader is staring out of the eyes of someone else.
However, this feeling of "staring out of the eyes of someone else" may be what your looking for. The second person point of view doesn't just allow you to be yourself, it also allows you to be someone else. This is more commonly known as "Role-playing." In this sense, you are 'you,' but not really 'you,' you're really someone else that isn't you but you are still you. If you're seeking a role-playing experience, or if you're seeking a full character embodiment, then second person is for you.
Third person point of view completely flips everything I said so far around. Rather than turner the reader into the protagonist, the connection between the reader and the character is severed and the reader becomes an onlooker. Or to put it another way, rather than 'staring out the eyes of someone else' the reader is 'staring over the character's shoulder' which adds in a whole other set of different rules. In this way, the reader plays as a little tick in the protagonist's head that pushes them to go one way or another, but as for the reasoning behind the choices, that rests on the character themselves. While it is fun to 'pretend' to be someone else and go through character development, it's hard for the reader to actually develop as a character. The reader may be sucked into the story, but it's hard for the reader to really go through any life changing experiences, and what usually happens in second person point of view stories is while the protagonist is going through these life changing experiences, the reader is slowly being alienated from the character while the character gains an individual identity. This person may still be 'you' but the reader gets the impression of being possessed by the protagonist as he/she continues to display individualistic traits. This 'you' serves as a constant reminder that this person is supposed to be 'you' but isn't you.The third person point of view completely severs this connection entirely. While this point of view completely separates the reader and the protagonist, in some ways it brings both of them closer as the reader is able to experience everything the character is experiencing in an over the shoulder point of view without the awkwardness of trying to be forced into the character's personality. This allows for a lot more freedom in character development as it has already been established that this person is an entirely separate entity from the reader therefore this character does NOT have the reader's personality, and it also allows for the reader to relate more easily to the protagonist for two reasons: One, it's hard to relate to yourself or the person you're pretending to be, for as soon as that happens the second person point of view illusion is shattered, and Two, the reader gets to know this individual character in a way that no book can ever do. For one thing, you are not only seeing the protagonist's actions and character development on the basis of those actions, but you are also seeing how the protagonist would develop if the protagonist did not choose those actions, and you get to understand why the character would perform two entirely separate actions. In this way, character development in a choose your own adventure story goes beyond any storytelling medium. So yes, I do think you should definitely take this point of view under consideration.