I think she released some of the most unconventional songs during the pre-order
It's probably a clever way to do it. People can get used to the stranger songs so they don't seem as outlandish when placed into full context of the album.
i think the cruel world guitar swing is at the beginning, the first 15 seconds. she never said it would be a heavy solo did she i thought she just said it would set the tone and something about psychedelia