Sweet berries should craft red dye

Have you ever eaten berries? Especially wild and very-ripe ones. Blackberries, strawberries, raspberries, cranberries, cherries, blackcurrants, mulberries, and pokeberries all quite readily cover a person's hands and clothes in bright red, fuchsia, and purple stains. It feels weird to me that berry =/= dye. Also, given that red dye is used to craft three sub-color dyes (orange, pink, purple), more than any other base dye, I see no issue with adding another method of crafting it.