As a fan of the first game, I am surprised to see a sequel. After playing this game, I would say that you did a fine job at continuing the ideas of the first game.
Now, I gotta point out some flaws. Early on, you missed good opportunities to let the game's narrative and the gameplay itself work as one. For example, "learning new skills, like wall jumping." It just creates a disconnect, having it say "learn new skills" and then having arrows suggest what to do like in other parts of the game without words would have been more immersive for the experience.
And the line "drag her out of my mind" did not need "use mouse" to get the idea across. Let the player figure it out themselves, like they did with the muting of the music, or crushing the ego.
Overall, I did like this game. The ending was a surprise, and you were able to explore interesting themes by continuing the narrative of the first game. If you choose to make a third game in the series, or try to make another game with similar gameplay mechanics, try to give the player more trust in figuring out puzzles themselves.
Good work.