Reminds me of some of the succulent flowers I’ve seen in the Botanic Gardens here in Melbourne.
Even reminiscent of the heaths or ericas when in full bloom.
As you say, not like a the normal lily at all.
It’s an interesting flower. I see similar elements in it in other flowers, but they are not of this size. The flower is actually very small compared to the rest of the plant which looks similar to hellebore.
I’ve never heard of it and you’re right, I never would have guessed it was in the lily family by the flowers.
We have a false lily of the valley too but it’s actually Canada mayflower (Maianthemum canadense.)