SPOILERS IN THIS COMMENT
I really enjoyed this game, and I thought the mechanic was a fun concept that was executed well (and must have been a bit of a pain to code)! I think it's ripe some more levels that tried some twists on the mechanic or built on it in creative ways. I also thought the visual presentation was good, I love the art, the colors, the lighting, and the little bouncy animation that happens when you bounce on a past life! The sprite for your previous lives really conveys a dead husk pretty well. I would have loved some sound effects and more music as well.
So I'm guessing the extra secrets were the little lore bits you found if you went down some of the openings? So, if I'm correct, it looks like our character had woken up this ancient statue which was the eldritch God, and doing so destroyed reality and stuck him in an even bigger curse of a time loop that he can't escape from? That narrative twist at the end was great, and I really love the horrifying implications of the lore! It was great that the theme was worked in not only on a mechanical level, but also narratively through that last ending reveal. Really great stuff!
Overall, great concept, nice presentation, and really interesting narrative! Good work!