You had me at "parrots" :P
I like the idea of switching game modes whenever you die, and a bird taking off and landing is a nice metaphor for that.
I kind of see what you were going for with the "no winning, no losing" thing, but I don't think it works. Seeing the "Easter egg" feels like a goal, which makes hitting a snowflake feel like losing, and hitting a bug feel like winning.
I liked how the game felt like a mystery I was unravelling. I'd love to see you push that aspect with more secrets to discover.