Finished the game, went back and wrapped up a mess of "do such-and-such without taking damage" Achievements, played through the first chapter on Nightmare difficulty, decided I do not like this game enough to play through the whole thing on Nightmare.
The collectibles are reset for New Game+, and they're reset for Chapter Select runs, so it is theoretically easy to go back and get each and every one with a guide -- and I don't like the game enough to do that, either.
So I started the DLC version of the original American McGee's Alice which is a pack-in, and now free with EA's revised Online Pass pricing.
This game... I had inflated it in my mind for so long, and was so hopeful, but it is just utter dreck. In retrospect, it is hard to believe someone thought that the Quake III engine could be used to make a third-person platformer. Additionally, there are numerous fall-to-death moments in Chapter 3, with zero warning, and there are no checkpoints. Now I am progressing through it by using the Save feature like, unsurprisingly, an old PC game: clear a bit, save, clear a bit, save...