I thought you were going to talk about the difference between D&D wizards and sorcerers: the former are the same as you describe, whereas the latter are born with some sort of innate talent for casting spells without needing to learn it or necessarily practice any discipline. It honestly also kind of fits; there's a difference between "I worked hard to learn the skills I have so I can explicitly craft the solution to the problem I have" and "idk man I just kinda point and think 'go magic spell' and the magic happens".

Sorcerers are the vibe coders of D&D magic, which perfectly describes how wizards in-universe feel about them.