This would be interesting but might break the immersion.
That may be true, but I'm sure the devs could create an alchemy tutorial quest that feels organic and fits within the story. For example, Auntie Ethel is a trader of lotions and potions among tiefling refugees, she could mention a tiefling child spoiled her latest batch and she needs help harvesting ingredients, create healing potion, etc. It's a shame this crafting mechanic goes largely unnoticed by new players and veterans alike.