“it’s a common misunderstanding.”

green and pink?

every source I could find says the pink calyx with the seeds removed is used as candied snacks, not the green part of the stem holding the flower.

you have the name right, but you’re mixing up your plant parts.

The green one you’re thinking of is the epicalyx.

The calyx is a smaller structure inside the epicalyx and outside of the petals holding the petals by the base.