CleverNickName
Limit Break Dancing
"Should they" is a weird question, but they certainly could if the player and the DM wanna go that route.
Spell lists are an easy way to add versatility to spellcasters...I do it all the time, and it's a lot better than creating Yet Another Subclass just to get a little bit of flavor and versatility. In one of my campaigns a couple years ago, I let one of my players choose their Wood Elf Sorcerer's spells from the Druid list purely for flavor reasons, and it didn't wreck anything. I also let a Tiefling Ranger choose her spells from the Warlock spell list, also for flavor reasons...still didn't wreck anything.
Spell lists are an easy way to add versatility to spellcasters...I do it all the time, and it's a lot better than creating Yet Another Subclass just to get a little bit of flavor and versatility. In one of my campaigns a couple years ago, I let one of my players choose their Wood Elf Sorcerer's spells from the Druid list purely for flavor reasons, and it didn't wreck anything. I also let a Tiefling Ranger choose her spells from the Warlock spell list, also for flavor reasons...still didn't wreck anything.